1 Answer

Zin Yackvaa · Answer 1 · 2020-12-27T07:02:28+0000

Answer:

C. 97.6 in³

Explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$2r=4\ in\to r=2\ in\\\\H=8\ in$

Substitute:

$V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3$

The formula of a volume of a cone:

$V=(1)/(3)\pi r^2H$

We have

$r=2\ in\\\\H=0.7\ in$

Substitute:

$V_2=(1)/(3)\pi(2^2)(0.7)=(1)/(3)\pi(4)(0.7)=(1)/(3)\pi(2.8)=(2.8\pi)/(3)=(28\pi)/(30)=(14\pi)/(15)\ in^3$

The volume of the plastic object:

V=V_1-V_2

$V=32\pi-(14\pi)/(15)=(480\pi)/(15)-(14\pi)/(15)=(466\pi)/(15)\\\\\pi\approx3.141\\\\V\approx(466)/(15)\cdot3.141\approx97.6$