h The diagram above shows a sphere with radius r cm and a solid cylinder with radius r cm and height h cm. (a) Given that the sphere and cylinder have equal volumes, show that 4 h=-r. 3 Answer (b) Hence, find the total surface area of the cylinder when the radius is 2 cm. [2]

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...
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The diagram above shows a sphere with radius r cm and a solid cylinder with
radius r cm and height h cm.
(a)
(b)
h
Given that the sphere and cylinder have equal volumes, show that
4
h=-r.
3
Answer
Hence, find the total surface area of the cylinder when the radius is
2 cm.
Answer
Use Only
[2]
cm² [2]
Transcribed Image Text:The diagram above shows a sphere with radius r cm and a solid cylinder with radius r cm and height h cm. (a) (b) h Given that the sphere and cylinder have equal volumes, show that 4 h=-r. 3 Answer Hence, find the total surface area of the cylinder when the radius is 2 cm. Answer Use Only [2] cm² [2]
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