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9

The volume of a cylinder is 121 cubic inches and its height is 4 inches.
a)
What is the radius of the cylinder?
b) What is the surface area of the cylinder? Give your answer in terms of īt.

9 The volume of a cylinder is 121 cubic inches and its height is 4 inches. a) What-example-1
User Gul Ershad
by
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1 Answer

3 votes

Answer:

r=3.10in

SA= 138.22 in square

Explanation:

Given data

Volume = 121 in^3

Height= 4 in

a) What is the radius of the cylinder?

We know that volume

V=πr^2h

121= 3.14*r^2*4

121= 12.56r^2

121/12.56= r^2

9.63=r^2

r= √9.63

r=3.10in

b) What is the surface area of the cylinder? Give your answer in terms of īt.

The surface area of cylinder is expressed as

SA=2πrh+2πr^2

SA= 2*3.14*3.1*4+ 2*3.14*3.1^2

SA= 77.872+60.3508

SA= 138.22 in square

User Luca Sepe
by
7.4k points