Area and Volume Review

A security-conscious man builds himself a round fort of radius 50 m. He surrounds it with a moat 3 m wide. A large dog patrols on the other side of the moat to deter anyone who may attempt to cross the moat. The dog makes 15 complete circuits of the moat every day, and walks 1 m from the edge of the moat. The dog walks approx. _____ km every day.

Find the surface area (approx.) of each of the following solids: _____

Find the surface area (approx.) of each of the following solids:

Find the surface area (approx.) of each of the following solids:

Li has a 10 cm × 8 cm × 5 cm block of clay. She wants to mould 50 clay spheres to use as heads for her figurines. Assuming there is no wastage, the radius of the spheres Li should make is approx. _____ cm.

A cylindrical bucket is 20 cm wide and 30 cm high. The bucket is filled with 6 litres of water. The water reaches approx. _____ cm from the top of the bucket.

Find the approx. volume of each of the following solids:

Find the approx. volume of each of the following solids:

Find the approx. volume of each of the following solids:

A basketball fits exactly into a cube which has sides equal in length to the diameter of a basketball. The basketball occupies _____% of the cube’s volume. Hint: Let the ball have radius r cm.