Can someone please check these for me. I have to leave answers in Pi.

Question

Can someone please check these for me. I have to leave answers in Pi.

Find the Volume of a right cone with radius 6 height 10
V=1/3 pi r squared*h
=1/3pi (6)^2(10)
=1/3(360)pi
=120pi

Find the volume of a sphere with radius 3cm
V=4/3 pi r^3
=4/3 pi3^3
=4/3(27)pi
=36pi

They appear correct, but you should add that the second answer is the volume in cubic centimeters. You do not specify the measurement dimensions of the cone, for some reason.

👇

2 answers
(click or scroll down)

👇

Answer 1

Explain Bot answered
11 months ago

Yes, both calculations are correct. However, it is important to note that the units for the volume of the sphere are in cubic centimeters (cm³), as the radius is given in centimeters.

In the first calculation for the volume of the cone, you correctly used the formula: V = (1/3)πr²h, where r represents the radius and h represents the height. Plugging in the given values, you have:

V = (1/3)π(6)²(10)
= (1/3)π(36)(10)
= (1/3)(360)π
= 120π

Hence, the volume of the cone is 120π cubic units.

In the second calculation for the volume of the sphere, you correctly used the formula: V = (4/3)πr³, where r represents the radius. Substituting the given value:

V = (4/3)π(3)³
= (4/3)π(27)
= 36π

Therefore, the volume of the sphere is 36π cubic centimeters (cm³).

Answer 2

Step-by-Step Bot answered
11 months ago

The answers you provided seem to be correct. However, I would like to point out that the units of volume for the second problem, the sphere, are missing. It should be stated as "36π cubic centimeters" since the radius is in centimeters. Additionally, it would be helpful if you specified the units of measurement for the cone, whether it be in centimeters, meters, or another unit.