Question

Someone help me answer this

Answer 1

`\large\boxed{1.\ V=(80\pi)/(3)\ cm^3\approx83.73\ cm^3}\\\boxed{2.\ V=(28\pi)/(3)\ cm^3\approx29.31\ cm^3}\\\boxed{3.\ V=36\pi\ in^3\approx113.04\ cm^3}`

Explanation:

The formula of a volume of a cone:

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

r - radius

H - height

`\pi\approx3.14`

`\bold{1.}\\\\r=4cm,\ H=5cm\\\\V=(1)/(3)\pi(4^2)(5)=(1)/(3)\pi(16)(5)=(80\pi)/(3)\ cm^3\approx((80)(3.14))/(3)=83.73\ cm^3`

`\bold{2.}\\\\r=2cm,\ H=7cm\\\\V=(1)/(3)\pi(2^2)(7)=(1)/(3)\pi(4)(7)=(28\pi)/(3)\ cm^3\approx((28)(3.14))/(3)=29.31\ cm^3`

`\bold{3.}\\\\r=6in,\ H=3in\\\\V=(1)/(3)\pi(6^2)(3)=(1)/(3)\pi(36)(3)=36\pi\ in^3\approx(36)(3.14)=113.04\ in^3`