Question

The volume of right circular cylinder A is 22 cubic

centimeters. What is the volume, in cubic
centimeters, of a right circular cylinder with twice the
radius and half the height of cylinder A?
A) 11
B) 22
C) 44
D) 66

Answer 1

.......The answer is A. 11

Answer 2

44

Explanation:

we know that

[volume of right circular cylinder]=pi*r²*h

Vo=pi*r²*h--------------> original volume

Vo= 22 cm³

if twice the radius and half the height

r1=2*r

h1=h/2

then

V1=pi*ri²*h1

substituting

V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h

V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³