a cylinder whose height is 8 inches has a volume of 128 pi cm3. if the radius is doubled and its height is cut in half, the volume of the resulting cylinder is... please show how to do it i do not need the answer i know the answer is 256pi cm^3

Marcelo Mullins

Marcelo Mullins

Answered question

2022-07-26

a cylinder whose height is 8 inches has a volume of 128 pi cm3. if the radius is doubled and its height is cut in half, the volume of the resulting cylinder is...
please show how to do it i do not need the answer i know the answer is 256pi cm^3

Answer & Explanation

bgr0v

bgr0v

Beginner2022-07-27Added 13 answers

let height be h and radius be r.
given pie*r^2 *h =128pie.
which gives hr^2 =128
now if radius is doubled and height is halfed.
volume =pie*h/2 *4r^2 =2piehr^2 =2*128pie =256pie cm^3

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