Page 46 - Math Course 3 (Book 2)

Volume of Pyramids, Cones, and Spheres

When mulch was dumped from a truck, it formed a Volume of a Sphere
cone-shaped mound with a diameter of 15 feet and Find the volume of the sphere. Round to the
a height of 8 feet. A person shoveling the mulch re- nearest tenth if necessary.
moves it at a rate of 1.5 ft3 every minute. How long
does it take for the pile of mulch to be completely A. 339.3 cm³
removed? B. 763.4 cm³
C. 3053.6 cm³
To determine how long it takes for the pile of mulch D. 9160.9 cm³
to be completely removed, divide the volume of the
pile of mulch by the rate of removal.
9 cm
471 ft³
= 314 min
ft³
1.5 Answer
min
Real World Example
1 hr
314 min • = 5.2 hrs
60 min
It will take about 5.2 hours
Answer for the pile of mulch to be
completely removed.

Your Turn!

Volume of a Pyramid
Find the volume of the pyramid. Round to the PLAYGROUND
nearest tenth if necessary. A load of wood chips for a playground was
dumped and formed a cone-shaped mound with
A. 112 in³ a diameter of 10 feet and a height of 6 feet. What
B. 168 in³ is the volume of the wood chips? Round to the
C. 336 in³ nearest tenth.
D. 448 in³ 7 in.
A. 628.3 ft³
B. 471.2 ft³
C. 377.0 ft³
6 in. D. 157.1 ft³
8 in.

Answer Answer
Volume of a Cone
A load of wood chips for a playground was
Find the volume of the cone. Round to the dumped and formed a cone-shaped mound with
nearest tenth if necessary. a diameter of 10 feet and a height of 6 feet. A
person shoveling the wood chips removes them
A. 40.3 in³ at a rate of 2 ft³ every minute. How long does it
B. 422.7 in³ take for the load of wood chips to be completely
C. 715.8 in³ removed?
D. 1690.7 in³ 10.5 in
A. 1.3 hours
6.2 in B. 3.1 hours
C. 3.9 hours
D. 5.2 hours

Answer
Answer

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