Surface Area and Volume of a Cylinder

Loading the math board and drawing, please wait…

2017-04-06 00:57

This example demonstrates how to calculate the surface area and volume of a cylinder using geometric construction. Key mathematical concepts include the geometric properties of a cylinder, as well as formulas for calculating area and volume. Using GeoGebra commands such as TextField, Circle, and Point, users can dynamically adjust the radius and height of the cylinder to observe changes in surface area and volume. Suitable for middle and high school students studying solid geometry.

GeoGebra Commands & Parameters

Textfield(r) → inputBox1
Textfield(r) → inputBox1_1
Textfield(h) → inputBox2_1
Textfield(r) → inputBox1_2
Textfield(h) → inputBox2_2
Textfield(r) → inputBox1_3
Textfield(h) → inputBox2_3
Textfield(h) → inputBox2_4
Textfield(h) → inputBox2_5
Textfield(h) → inputBox2_6
Textfield(h) → inputBox2_7
Textfield(r) → inputBox1_4
Textfield(h) → inputBox2_8
Textfield(r) → inputBox1_5
Textfield(h) → inputBox2_9
Textfield(r) → inputBox1_6
Textfield(h) → inputBox2_{10}
Textfield(r) → inputBox1_7
Textfield(h) → inputBox2_{11}
Textfield(h) → inputBox2_{12}
Textfield(h) → inputBox2_{13}
Textfield(h) → inputBox2_{14}
Textfield(h) → inputBox2_{15}
Circle(A, r) → c
Point(c) → B
Point(c) → C
Point(Circle[B, abs(h)]) → D
Segment(B, D) → a
Point(Circle[C, abs(h)]) → E
Segment(C, E) → b
Point(Circle[A, abs(h)]) → F
Circle(F, r) → e
Segment(A, B) → f
Textfield(r) → inputBox1_8
Textfield(r) → inputBox1_9
Textfield(h) → inputBox2_{16}
Textfield(r) → inputBox1_{10}
Textfield(h) → inputBox2_{17}
Textfield(r) → inputBox1_{11}
Textfield(h) → inputBox2_{18}
Textfield(h) → inputBox2_{19}
Textfield(h) → inputBox2_{20}
Textfield(h) → inputBox2_{21}
Textfield(h) → inputBox2_{22}
Textfield(r) → inputBox1_{12}
Textfield(h) → inputBox2_{23}
Textfield(r) → inputBox1_{13}
Textfield(h) → inputBox2_{24}
Textfield(r) → inputBox1_{14}
Textfield(h) → inputBox2_{25}
Textfield(r) → inputBox1_{15}
Textfield(h) → inputBox2_{26}
Textfield(h) → inputBox2_{27}
Textfield(h) → inputBox2_{28}
Textfield(h) → inputBox2_{29}
Textfield(h) → inputBox2_{30}
Textfield(r_1) → inputBox1_{16}
Textfield(r_1) → inputBox1_{17}
Textfield(h_1) → inputBox2_{31}
Textfield(r_1) → inputBox1_{18}
Textfield(h_1) → inputBox2_{32}
Textfield(r_1) → inputBox1_{19}
Textfield(h_1) → inputBox2_{33}
Textfield(h_1) → inputBox2_{34}
Textfield(h_1) → inputBox2_{35}
Textfield(h_1) → inputBox2_{36}
Textfield(h_1) → inputBox2_{37}
Textfield(r_1) → inputBox1_{20}
Textfield(h_1) → inputBox2_{38}
Textfield(r_1) → inputBox1_{21}
Textfield(h_1) → inputBox2_{39}
Textfield(r_1) → inputBox1_{22}
Textfield(h_1) → inputBox2_{40}
Textfield(r_1) → inputBox1_{23}
Textfield(h_1) → inputBox2_{41}
Textfield(h_1) → inputBox2_{42}
Textfield(h_1) → inputBox2_{43}
Textfield(h_1) → inputBox2_{44}
Textfield(h_1) → inputBox2_{45}
Textfield(r) → inputBox1_{24}
Textfield(r) → inputBox1_{25}
Textfield(r) → inputBox1_{26}
Textfield(r) → inputBox1_{27}
Textfield(r) → inputBox1_{28}
Textfield(r) → inputBox1_{29}
Textfield(r) → inputBox1_{30}
Textfield(r) → inputBox1_{31}
Textfield(r) → inputBox1_{32}
Textfield(r) → inputBox1_{33}
Textfield(r) → inputBox1_{34}
Textfield(r) → inputBox1_{35}
Textfield(r) → inputBox1_{36}
Textfield(r) → inputBox1_{37}
Textfield(r) → inputBox1_{38}
Textfield(r) → inputBox1_{39}
Textfield(r) → inputBox1_{40}
Textfield(r) → inputBox1_{41}
Textfield(r) → inputBox1_{42}
Textfield(r) → inputBox1_{43}
Textfield(r) → inputBox1_{44}
Textfield(r) → inputBox1_{45}
Textfield(r) → inputBox1_{46}
Textfield(r) → inputBox1_{47}
Textfield(r) → inputBox1_{48}
Textfield(r) → inputBox1_{49}
Textfield(r) → inputBox1_{50}
Textfield(r) → inputBox1_{51}
Textfield(r) → inputBox1_{52}
Textfield(r) → inputBox1_{53}
Textfield(r) → inputBox1_{54}
Textfield(r) → inputBox1_{55}
Textfield(r) → inputBox1_{56}
Textfield(r) → inputBox1_{57}
Textfield(r) → inputBox1_{58}
Textfield(r) → inputBox1_{59}
Textfield(r) → inputBox1_{60}
Textfield(r) → inputBox1_{61}
Textfield(r) → inputBox1_{62}
Textfield(r) → inputBox1_{63}
Textfield(r) → inputBox1_{64}
Textfield(r) → inputBox1_{65}
Textfield(r) → inputBox1_{66}
Textfield(r) → inputBox1_{67}
Textfield(r) → inputBox1_{68}
Textfield(r) → inputBox1_{69}
Textfield(r) → inputBox1_{70}
Textfield(r) → inputBox1_{71}
Textfield(r) → inputBox1_{72}
Textfield(r) → inputBox1_{73}
Textfield(h) → inputBox2_{46}
Textfield(r) → inputBox1_{74}
Textfield(h) → inputBox2_{47}
Textfield(r) → inputBox1_{75}
Textfield(h) → inputBox2_{48}
Textfield(h) → inputBox2_{49}
Textfield(h) → inputBox2_{50}
Textfield(h) → inputBox2_{51}
Textfield(h) → inputBox2_{52}
Textfield(r) → inputBox1_{76}
Textfield(h) → inputBox2_{53}
Textfield(r) → inputBox1_{77}
Textfield(h) → inputBox2_{54}
Textfield(r) → inputBox1_{78}
Textfield(h) → inputBox2_{55}
Textfield(r) → inputBox1_{79}
Textfield(h) → inputBox2_{56}
Textfield(h) → inputBox2_{57}
Textfield(h) → inputBox2_{58}
Textfield(h) → inputBox2_{59}
Textfield(h) → inputBox2_{60}
Textfield(r) → inputBox1_{80}
Textfield(r) → inputBox1_{81}
Textfield(h) → inputBox2_{61}
Textfield(r) → inputBox1_{82}
Textfield(h) → inputBox2_{62}
Textfield(r) → inputBox1_{83}
Textfield(h) → inputBox2_{63}
Textfield(h) → inputBox2_{64}
Textfield(h) → inputBox2_{65}
Textfield(h) → inputBox2_{66}
Textfield(h) → inputBox2_{67}
Textfield(r) → inputBox1_{84}
Textfield(h) → inputBox2_{68}
Textfield(r) → inputBox1_{85}
Textfield(h) → inputBox2_{69}
Textfield(r) → inputBox1_{86}
Textfield(h) → inputBox2_{70}
Textfield(r) → inputBox1_{87}
Textfield(h) → inputBox2_{71}
Textfield(h) → inputBox2_{72}
Textfield(h) → inputBox2_{73}
Textfield(h) → inputBox2_{74}
Textfield(h) → inputBox2_{75}
Textfield(r) → inputBox1_{88}
Textfield(r) → inputBox1_{89}
Textfield(r) → inputBox1_{90}
Textfield(r) → inputBox1_{91}
Textfield(r) → inputBox1_{92}
Textfield(r) → inputBox1_{93}
Textfield(r) → inputBox1_{94}
Textfield(r) → inputBox1_{95}
Textfield(r) → inputBox1_{96}
Textfield(r) → inputBox1_{97}
Textfield(r) → inputBox1_{98}
Textfield(r) → inputBox1_{99}
Textfield(r) → inputBox1_{100}
Textfield(r) → inputBox1_{101}
Textfield(r) → inputBox1_{102}
Textfield(r) → inputBox1_{103}
Textfield(r) → inputBox1_{104}
Textfield(r) → inputBox1_{105}
Textfield(r) → inputBox1_{106}
Textfield(r) → inputBox1_{107}
Textfield(r) → inputBox1_{108}
Textfield(r) → inputBox1_{109}
Textfield(r) → inputBox1_{110}
Textfield(r) → inputBox1_{111}
Textfield(r) → inputBox1_{112}
Textfield(r) → inputBox1_{113}
Textfield(r) → inputBox1_{114}
Textfield(r) → inputBox1_{115}
Textfield(r) → inputBox1_{116}
Textfield(r) → inputBox1_{117}
Textfield(r) → inputBox1_{118}
Textfield(r) → inputBox1_{119}
Textfield(r) → inputBox1_{120}
Textfield(r) → inputBox1_{121}
Textfield(r) → inputBox1_{122}
Textfield(r) → inputBox1_{123}
Textfield(r) → inputBox1_{124}
Textfield(r) → inputBox1_{125}
Textfield(r) → inputBox1_{126}
Textfield(r) → inputBox1_{127}
Textfield(r) → inputBox1_{128}
Textfield(r) → inputBox1_{129}
Textfield(r) → inputBox1_{130}
Textfield(r) → inputBox1_{131}
Textfield(r) → inputBox1_{132}
Textfield(r) → inputBox1_{133}
Textfield(r) → inputBox1_{134}
Textfield(r) → inputBox1_{135}
Textfield(r) → inputBox1_{136}
Textfield(r) → inputBox1_{137}
Textfield(h) → inputBox2_{76}
Textfield(r) → inputBox1_{138}
Textfield(h) → inputBox2_{77}
Textfield(r) → inputBox1_{139}
Textfield(h) → inputBox2_{78}
Textfield(h) → inputBox2_{79}
Textfield(h) → inputBox2_{80}
Textfield(h) → inputBox2_{81}
Textfield(h) → inputBox2_{82}
Textfield(r) → inputBox1_{140}
Textfield(h) → inputBox2_{83}
Textfield(r) → inputBox1_{141}
Textfield(h) → inputBox2_{84}
Textfield(r) → inputBox1_{142}
Textfield(h) → inputBox2_{85}
Textfield(r) → inputBox1_{143}
Textfield(h) → inputBox2_{86}
Textfield(h) → inputBox2_{87}
Textfield(h) → inputBox2_{88}
Textfield(h) → inputBox2_{89}
Textfield(h) → inputBox2_{90}
Textfield(r) → inputBox1_{144}
Textfield(r) → inputBox1_{145}
Textfield(h) → inputBox2_{91}
Textfield(r) → inputBox1_{146}
Textfield(h) → inputBox2_{92}
Textfield(r) → inputBox1_{147}
Textfield(h) → inputBox2_{93}
Textfield(h) → inputBox2_{94}
Textfield(h) → inputBox2_{95}
Textfield(h) → inputBox2_{96}
Textfield(h) → inputBox2_{97}
Textfield(r) → inputBox1_{148}
Textfield(h) → inputBox2_{98}
Textfield(r) → inputBox1_{149}
Textfield(h) → inputBox2_{99}
Textfield(r) → inputBox1_{150}
Textfield(h) → inputBox2_{100}
Textfield(r) → inputBox1_{151}
Textfield(h) → inputBox2_{101}
Textfield(h) → inputBox2_{102}
Textfield(h) → inputBox2_{103}
Textfield(h) → inputBox2_{104}
Textfield(h) → inputBox2_{105}
Textfield(r) → inputBox1_{152}
Textfield(r) → inputBox1_{153}
Textfield(r) → inputBox1_{154}
Textfield(r) → inputBox1_{155}
Textfield(r) → inputBox1_{156}
Textfield(r) → inputBox1_{157}
Textfield(r) → inputBox1_{158}
Textfield(r) → inputBox1_{159}
Textfield(r) → inputBox1_{160}
Textfield(r) → inputBox1_{161}
Textfield(r) → inputBox1_{162}
Textfield(r) → inputBox1_{163}
Textfield(r) → inputBox1_{164}
Textfield(r) → inputBox1_{165}
Textfield(r) → inputBox1_{166}
Textfield(r) → inputBox1_{167}
Textfield(r) → inputBox1_{168}
Textfield(r) → inputBox1_{169}
Textfield(r) → inputBox1_{170}
Textfield(r) → inputBox1_{171}
Textfield(r) → inputBox1_{172}
Textfield(r) → inputBox1_{173}
Textfield(r) → inputBox1_{174}
Textfield(r) → inputBox1_{175}
Textfield(r) → inputBox1_{176}
Textfield(r) → inputBox1_{177}
Textfield(r) → inputBox1_{178}
Textfield(r) → inputBox1_{179}
Textfield(r) → inputBox1_{180}
Textfield(r) → inputBox1_{181}
Textfield(r) → inputBox1_{182}
Textfield(r) → inputBox1_{183}
Textfield(r) → inputBox1_{184}
Textfield(r) → inputBox1_{185}
Textfield(r) → inputBox1_{186}
Textfield(r) → inputBox1_{187}
Textfield(r) → inputBox1_{188}
Textfield(r) → inputBox1_{189}
Textfield(r) → inputBox1_{190}
Textfield(r) → inputBox1_{191}
Textfield(r) → inputBox1_{192}
Textfield(r) → inputBox1_{193}
Textfield(r) → inputBox1_{194}
Textfield(r) → inputBox1_{195}
Textfield(r) → inputBox1_{196}
Textfield(r) → inputBox1_{197}
Textfield(r) → inputBox1_{198}
Textfield(r) → inputBox1_{199}
Textfield(r) → inputBox1_{200}
Textfield(r) → inputBox1_{201}
Textfield(h) → inputBox2_{106}
Textfield(r) → inputBox1_{202}
Textfield(h) → inputBox2_{107}
Textfield(r) → inputBox1_{203}
Textfield(h) → inputBox2_{108}
Textfield(h) → inputBox2_{109}
Textfield(h) → inputBox2_{110}
Textfield(h) → inputBox2_{111}
Textfield(h) → inputBox2_{112}
Textfield(r) → inputBox1_{204}
Textfield(h) → inputBox2_{113}
Textfield(r) → inputBox1_{205}
Textfield(h) → inputBox2_{114}
Textfield(r) → inputBox1_{206}
Textfield(h) → inputBox2_{115}
Textfield(r) → inputBox1_{207}
Textfield(h) → inputBox2_{116}
Textfield(h) → inputBox2_{117}
Textfield(h) → inputBox2_{118}
Textfield(h) → inputBox2_{119}
Textfield(h) → inputBox2_{120}
Textfield(r) → inputBox1_{208}
Textfield(r) → inputBox1_{209}
Textfield(h) → inputBox2_{121}
Textfield(r) → inputBox1_{210}
Textfield(h) → inputBox2_{122}
Textfield(r) → inputBox1_{211}
Textfield(h) → inputBox2_{123}
Textfield(h) → inputBox2_{124}
Textfield(h) → inputBox2_{125}
Textfield(h) → inputBox2_{126}
Textfield(h) → inputBox2_{127}
Textfield(r) → inputBox1_{212}
Textfield(h) → inputBox2_{128}
Textfield(r) → inputBox1_{213}
Textfield(h) → inputBox2_{129}
Textfield(r) → inputBox1_{214}
Textfield(h) → inputBox2_{130}
Textfield(r) → inputBox1_{215}
Textfield(h) → inputBox2_{131}
Textfield(h) → inputBox2_{132}
Textfield(h) → inputBox2_{133}
Textfield(h) → inputBox2_{134}
Textfield(h) → inputBox2_{135}
Textfield(r) → inputBox1_{216}
Textfield(r) → inputBox1_{217}
Textfield(r) → inputBox1_{218}
Textfield(r) → inputBox1_{219}
Textfield(r) → inputBox1_{220}
Textfield(r) → inputBox1_{221}
Textfield(r) → inputBox1_{222}
Textfield(r) → inputBox1_{223}
Textfield(r) → inputBox1_{224}
Textfield(r) → inputBox1_{225}
Textfield(r) → inputBox1_{226}
Textfield(r) → inputBox1_{227}
Textfield(r) → inputBox1_{228}
Textfield(r) → inputBox1_{229}
Textfield(r) → inputBox1_{230}
Textfield(r) → inputBox1_{231}
Textfield(r) → inputBox1_{232}
Textfield(r) → inputBox1_{233}
Textfield(r) → inputBox1_{234}
Textfield(r) → inputBox1_{235}
Textfield(r) → inputBox1_{236}
Textfield(r) → inputBox1_{237}
Textfield(r) → inputBox1_{238}
Textfield(r) → inputBox1_{239}
Textfield(r) → inputBox1_{240}
Textfield(r) → inputBox1_{241}
Textfield(r) → inputBox1_{242}
Textfield(r) → inputBox1_{243}
Textfield(r) → inputBox1_{244}
Textfield(r) → inputBox1_{245}
Textfield(r) → inputBox1_{246}
Textfield(r) → inputBox1_{247}
Textfield(r) → inputBox1_{248}
Textfield(r) → inputBox1_{249}
Textfield(r) → inputBox1_{250}
Textfield(r) → inputBox1_{251}
Textfield(r) → inputBox1_{252}
Textfield(r) → inputBox1_{253}
Textfield(r) → inputBox1_{254}
Textfield(r) → inputBox1_{255}
Textfield(r) → inputBox1_{256}
Textfield(r) → inputBox1_{257}
Textfield(r) → inputBox1_{258}
Textfield(r) → inputBox1_{259}
Textfield(r) → inputBox1_{260}
Textfield(r) → inputBox1_{261}
Textfield(r) → inputBox1_{262}
Textfield(r) → inputBox1_{263}