The volume of right circular cylinder a is 22 cubic centimeters. what is the volume, in cubic centimeters with twice the radius and half the height?

Respuesta :

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*ri
²*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

the answer is 44 cm³