Lateral and total surface area of pyramids, cones and spheres

Answer Key - Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   A ball's surface area is 144π square cm. Ari wants its radius for a snug box. What is the radius, in cm?

   6
2. 2.

   A soccer ball's surface area is 256π square cm. Bo wants its radius for a snug box. What is the radius, in cm?

   8
3. 3.

   A round balloon's surface area is 324π square inches. Esme wants its radius for a snug box. What is the radius, in inches?

   9
4. 4.

   Kira's glass pyramid has a square base 8 cm on a side. Its whole surface, base included, is 224 square cm. What is its slant height, in cm?

   10
5. 5.

   Milo's pyramid tent has a square base 10 feet on a side. Its whole surface, base included, is 280 square feet. What is its slant height, in feet?

   9
6. 6.

   Noah's castle roof model has a square base 12 inches on a side. Its whole surface, base included, is 504 square inches. What is its slant height, in inches?

   15
7. 7.

   The curved side of Pia's paper cone cup is 65π square cm. Its radius is 5 cm. How tall is it, straight up from the base to the tip, in cm?

   12
8. 8.

   The curved side of Ren's model volcano is 60π square inches. Its radius is 6 inches. How tall is it, straight up from the base to the tip, in inches?

   8
9. 9.

   The curved side of Tala's castle roof is 180π square cm. Its radius is 12 cm. How tall is it, straight up from the base to the tip, in cm?

   9
10. 10.

    The curved side of Zee's rocket's nose cone is 136π square cm. Its radius is 8 cm. How tall is it, straight up from the base to the tip, in cm?

    15