Question

Find the volume of the object shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

Cut it up
1 cylinder and a half sphere

V cylinder=hpir^2
Vsphere=(4/3)pir^3

find each

H=7
r=4
sub

Vcylinder=7pi4^2
V=7pi16
V=112pi

Vsphere (multiply by 1/2 later)
V=(4/3)pi4^3
V=(4/3)pi64
V=(256/3)pi
V=85.33333333333333pi
multply by 1/2 since 1/2 sphere
V=42.6666666666pi

add them


Vclliner+1/2sphere=112pi+42.66666666666pi=154.666666666666pi
pi=3.14 for problem
Vtotal=485.6533333333333333333
hundreth

V=485.65 in^3