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?
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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?
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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?
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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?
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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
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