a) One mould forms a sculpture that is a

composite object comprising a right cylinder
with base diameter 15 in. and height 3 in., and
a right cone with the same base diameter as
the base of the cylinder and a height of 9 in.
Determine the volume of the sculpture to the
nearest cubic inch.

answer i got: 1060 in^3

b)The sculpture in part a is carved out of a
block of ice with the shape of a right square
prism. What are the least possible dimensions
for the prism to the nearest inch?

I don't get part b.

your volume is correct

f) well , we know the block of ice must be 12 inches high , and must be a square of 15 in by 15 inches

To solve part b, we need to find the dimensions of the block of ice from which the sculpture in part a was carved.

Given that the sculpture is a composite object comprising a right cylinder and a right cone, we can determine the dimensions of the block of ice by finding the maximum dimensions of the composite object.

The maximum dimensions of the composite object will be the sum of the dimensions of both the cylinder and the cone.

For the cylinder, the base is a right circle with a diameter of 15 in and a height of 3 in.

For the cone, the base is also a right circle with a diameter of 15 in and a height of 9 in.

To determine the least possible dimensions of the block of ice, we need to consider the minimum dimensions required to fit the composite object.

The minimum dimensions will be equal to the sum of the diameters of the cylinder and the cone, and the maximum height between the cylinder and the cone.

Therefore, the least possible dimensions of the block of ice will have a side length equal to the sum of the diameters, 15 in + 15 in = 30 in, and a height equal to the maximum height, which is 9 in (since the height of the cone is greater than the height of the cylinder).

Thus, the least possible dimensions of the prism would be 30 inches by 30 inches by 9 inches to the nearest inch.