Hard - Quiz 1

Take on composite solids, volume scaling, surface area constraints, inscribed shapes, and multi-step problems that combine formulas with real-world reasoning.

Question 1 of 5

0 of 5 answered Score: 0%

Question 1

A storage container is made up of a cylinder with a hemisphere attached to the top. The cylinder has a radius of 3 feet and a height of 8 feet. The hemisphere has the same radius. What is the total volume of the container, in cubic feet?

🔒 Answer question 1 to unlock

Two cones are similar. Cone A has a radius of 3 inches and a height of 5 inches. Cone B has a radius of 6 inches. What is the volume of Cone B, in cubic inches?

🔒 Answer question 2 to unlock

A closed rectangular box has a square base with side length 5 inches. The total surface area of the box is 150 square inches. What is the volume of the box, in cubic inches?

🔒 Answer question 3 to unlock

A sphere is inscribed in a cube with side length 10 centimeters. What is the volume of the space inside the cube but outside the sphere, in cubic centimeters?

🔒 Answer question 4 to unlock

A cylindrical water tank has a radius of 5 feet and a height of 8 feet. The tank is filled to 75% of its capacity. Water from the tank is poured into cone-shaped cups, each with a radius of 3 feet and a height of 4 feet. What is the maximum number of cups that can be completely filled?

correct answers

Did you find this quiz useful?