Academic Worksheet 10.5
Draw a net for the solid. Then find the surface area. Use 3.14 for π. Round to the nearest whole number if necessary.
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A can of vegetables is in the shape of a cylinder. The diameter of the can is 7 centimeters, and the height is 11
centimeters. Find the surface area of the can. Use 3.14 for π. Round to the nearest square centimeter.
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A skyscraper is a rectangular prism with a height of 398 meters. The bases are squares with sides that are 62
meters. What is the surface area of the skyscraper?
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Some snowboarding parks have a feature shaped like an elongated mailbox and called a mailbox slider.
Snowboarders use their boards to jump onto the mailbox slider and slide along its top surface. A mailbox slider is
composed of a half cylinder and a rectangular prism. Find the surface area of the mailbox slider shown. Round
your answer to the nearest square inch.
Academic Worksheet 10.7
Find the volume of the prism or cylinder. Use 3.14 for π. Round to the nearest whole number.
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7. A mug is shaped like a cylinder. Find the volume of the mug to the nearest cubic centimeter.
Find the unknown dimension. Use 3.14 for π. Round to the nearest whole number.
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The solids shown are composed of prisms and half cylinders. Find the volume of the solids. Round to the
nearest whole number.
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Academic Worksheet 10.8
Find the volume of the cone. Round to the nearest whole number.
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Find the unknown dimension. Use 3.14 for 𝜋. Round to the nearest whole number.
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Find the volume of the solid. Use 3.14 for 𝜋. Round your answer to the nearest whole number.
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Academic Worksheet 10.9
Find the volume of the sphere. Round your answer to the nearest tenth.
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4. A baseball has a 45 centimeter diameter. What is the volume of the contents of the ball to the nearest
tenth of a centimeter?
5. Mary is blowing up a beach ball. The package says that the ball has a diameter of 12 inches. What is
the volume of the beach ball when it is completely full? Use 3.14 for . Round to the nearest whole
number.
6. The Boy Scouts of America recently made a giant popcorn ball to promote their popcorn sales. Scouts
and other helpers added to the popcorn ball as it travelled around the country.
a. What was the volume of the popcorn ball when it had a diameter of 6 feet? Round to the
nearest tenth.
b. Suppose the diameter of the popcorn ball was enlarged to 9 feet. What would the new volume
be? Round to the nearest tenth.
c. What was the volume of the popcorn needed to increase the popcorn ball from a diameter of
6 feet to a diameter of 9 feet?
7. A hemispherical bowl has a radius of 15 centimeters. If it is filled completely with water and covered
with a lid, find the volume of the water. Give your answer to the nearest tenth, and use 3.14 for π.
8. Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla
ice cream, so that it is level with the top of the cone as well as one spherical scoop on top of the cone.
Gail knows that the radius of the inside of the cone and the scoop of ice cream is 24 millimeters, and
the height of the inside of the cone is 126 millimeters. Using 3.14 for π, how much vanilla ice cream will
be needed to fill the cone and include one scoop? Round your answer to the nearest whole number.