A county highway crew stores sand in a cone-shaped silo for use during winter ice and snow storms. If the height of the cone is 15 feet and the diameter of the cone is 20 feet, how much sand can be stored in the silo?
Be sure that you determine the radius of the cone, since the volume formula uses radius instead of diameter.
Interactive popup. Assistance may be required.
Nedra has a bookcase that is shaped like a rectangular prism and will paint the left side, right side, and top red in order to match the colors in her bedroom. If the bookcase is 3 feet wide, 4 feet tall, and 1 foot deep, how much of the bookcase will be painted?Interactive popup. Assistance may be required. Be sure that you determine the areas of each face that will be painted. Interactive popup. Assistance may be required.
A wastebasket is in the shape of a cylinder. If the diameter of the wastebasket is 12 inches and the height is 12 inches, what is the maximum amount, in cubic feet, of waste that the wastebasket will hold?Interactive popup. Assistance may be required. You need to determine the radius of the wastebasket since the formula for volume uses the radius instead of the diameter. Also, notice that the question asks for the volume in cubic feet. Interactive popup. Assistance may be required.
Rafael has a soccer ball that is 9 inches in diameter. He wants to inflate the ball completely. How much air will the ball contain? Use the grid below to record your answer. Type your answer in the boxes in front of and behind the decimal. Click inside each box to enter the numeral that belongs in the box, and then click the bubble beneath the numeral to shade the bubble that matches the numeral. Incorrect portions of your answer will be shaded gray.
nteractive popup. Assistance may be required. The formula for volume of a sphere requires the radius, and the diameter is given.
The Great Pyramid at Khufu, Egypt, is 146 meters tall and is a square pyramid with edge lengths along the base that are 230 meters in length. The slant height of each of the lateral faces is about 220 meters. If the lateral faces were originally covered with plaster, what is the amount of plaster that would be necessary for the Great Pyramid?
nteractive popup. Assistance may be required. For the lateral surface area of a pyramid, you need to use the slant height instead of the height of the pyramid. Interactive popup. Assistance may be required.
101,200 square meters
A wedge of cheese is in the shape of a triangular prism. The base of the wedge is in the shape of a right triangle with a length of 5 centimeters and a width of 12 centimeters. The wedge itself is 8 centimeters tall. If the cheese is melted for a cheese sauce, how much molten cheese will there be in the bowl?
Use the grid below to record your answer. Type your answer in the boxes in front of and behind the decimal. Click inside each box to enter the numeral that belongs in the box, and then click the bubble beneath the numeral to shade the bubble that matches the numeral. Incorrect portions of your answer will be shaded gray.
nteractive popup. Assistance may be required. When calculating the area of the base, be sure to remember that the formula for the area of a triangle contains multiplication by 1 over 2 1 2 .