(h) The solid on the right is made up of a rectangular prism and a hemisphere with one quarter of the hemisphere removed. The radius of the hemisphere is x units and the dimensions of the rectangular prism are 2xxxx2x. (1) (2) Show that the volume of the solid in terms (+8)x³. of x is equal to V = 2 G11579 Show that the surface area of the solid in (5π+64) x². terms of x is equal to S = 4 2x X 2x x X
(h) The solid on the right is made up of a rectangular prism and a hemisphere with one quarter of the hemisphere removed. The radius of the hemisphere is x units and the dimensions of the rectangular prism are 2xxxx2x. (1) (2) Show that the volume of the solid in terms (+8)x³. of x is equal to V = 2 G11579 Show that the surface area of the solid in (5π+64) x². terms of x is equal to S = 4 2x X 2x x X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The solid on the right is made up of a rectangular
prism and a hemisphere with one quarter of the
hemisphere removed. The radius of the hemisphere
is x units and the dimensions of the rectangular
prism are 2xxxx2x.
(h)
2x
(1)
Show that the volume of the solid in terms
2x
(T+8)3
of x is equal to V =
2
G11579
(2)
Show that the surface area of the solid in
(5T+64)
terms of x is equal to S=
4
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