Question

Question 12 (1 point) In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?

the three solids are cylinder, cone, and sphere

a The radius and the surface area
b The volume and the height
c The surface area and the base
d The radius and the height

Answer 1

Explanation:

In order for the ratio of volumes of a cylinder, cone, and sphere to be true, the radius of each solid would have to be equal. This is because the radius is a factor in the volume formulas for all three solids:

Volume of cylinder: πr^2h

Volume of cone: (1/3)πr^2h

Volume of sphere: (4/3)πr^3

If the radius is equal in all three solids, then the volumes will be in the same ratio as the given ratio, regardless of the values of h or the surface area. Therefore, the correct answer is : The radius and the height.