Page 691 - Basic College Mathematics with Early Integers

668 C HAPTE R 9 I GEOMETRY

39. The Hayden Planetarium, at the Museum of Natural 40. The Adler Museum in Chicago recently added
History in New York City, boasts a dome that has a a new planetarium, its StarRider Theater, which
diameter of 20 m.The dome is a hemisphere, or half has a diameter of 55 feet. Find the volume of its
a sphere.What is the volume enclosed by the dome hemispheric (half a sphere) dome. Use 3.14 for p
at the Hayden Planetarium? Use 3.14 for andp and round to the nearest hundredth. (Source: The
round to the nearest hundredth. (Source: Hayden Adler Museum)
Planetarium)

diameter

hemisphere

41. Do two rectangular solids with the same volume 42. Do two rectangular solids with the same volume have
have the same shape? To see, find the volume and the same surface area? To see, find the volume and
surface area of each rectangular solid. surface area of each rectangular solid.

2 feet
2 inches

4 feet 3 feet
5 inches 4 inches 4 feet
6 feet 4 feet
5 inches
10 inches 5 inches

43. Two kennels are offered at a hotel.The kennels 44. The centerpiece of the New England Aquarium in
measure Boston is its Giant Ocean Tank.This exhibit is a four-
story cylindrical saltwater tank containing sharks, sea
a. 2¿1– by 1¿8– by 1¿7– and
turtles, stingrays, and tropical fish.The radius of the
b. 1¿1– by 2¿ by 2¿8–
tank is 16.3 feet and its height is 32 feet (assuming
What is the volume of each kennel rounded to the that a story is 8 feet).What is the volume of the Giant
nearest tenth of a cubic foot? Which is larger? Ocean Tank? Use p L 3.14 and round to the nearest
tenth of a cubic foot. (Source: New England
Aquarium)

45. Find the volume of the figure below. Give an exact 46. Can you compute the volume of a rectangle? Why or
measure and then a whole number approximation. why not?

2 in.

6 in.

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