Similar Solids
If the cones below are similar, what is the ratio of the surface area of the larger cone to the surface area of the smaller cone if the slant height of cone A is 28 and the slant height of cone B is 8.
361:16
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?(Round your answer to the nearest whole number)
75
A rectangular prism is 2 millimeters long, 7 millimeters wide, and 1 millimeter high. What is the surface area of the rectangular prism? (round to nearest whole number)
46
A sphere has a diameter of 6 feet. What is its volume?(round to nearest whole number)
113
Solid A is similar to Solid B. The ratio of the height of Solid A to the height of Solid B is 7:3. Find the ratio of the volume of Solid A to Solid B.
343:27
A rectangular pyramid has a base that is 8 millimeters long and 8 millimeters wide. The pyramid's height is 9 millimeters. What is its volume? (Round your answer to the nearest whole number)
192
Each side of a cube is 10 yards long. What is the surface area of the cube? (round to nearest whole number)
600
A sphere has a radius of 55 yards. What is its surface area?(round to nearest whole number)
37,994
Cylinder A and Cylinder B are similar. If Cylinder A has a diameter of 24 ft and Cylinder B has a diameter of 30 ft, what is the ratio of the volume of Cylinder A to Cylinder B?
64:125
A cone has a slant height of 6 yards and a radius of 3 yards. What is its surface area? (Round your answer to the nearest whole number)
85
A cylinder has a height of 4.2 meters and a radius of 1.1 meters. What is its volume? (Round your answer to the nearest whole number)
16
The surface area of a sphere is 1,024𝜋 square centimeters. What is its diameter? (round to nearest whole number)
32
The volume of Solid A is 28 m³ and the volume of Solid B is 1,792 m³. If the solids are similar, what is the ratio of the surface area of Solid A to the surface area of Solid B?
1:16
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 6 meters long, and the height of the equilateral triangle is 5.2 meters. The pyramid's slant height is 4 meters. What is its surface area?(Round your answer to the nearest whole number)
52
The circumference of the base of a cylinder is 8𝜋 feet. The height of the cylinder is 3 feet. What is the surface area of the cylinder? (round to nearest whole number)
176
A sphere has a diameter of 4 millimeters. What is its surface area? (Round to nearest whole number)
50
Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft2, find the surface area of Cone А.(Round your answer to the nearest whole number)
261
If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height. (round to nearest whole number)
14
A cylinder has a height of 1.9 yards and a radius of 1 yard. What is its volume? (Round your answer to the nearest whole number)
6
Find the volume of a sphere with a great circle area of 201.06 square inches.(Round your answer to the nearest whole number)
2145