A glass tank is 25cm long, 20cm wide, 30cm high and contains water. The surface of the water is 5 cm below the top of the tank. After a solid metal spherical ball B1 has carefully been placed into the tank, the surface of the water is 3cm below the top of the tank. Įt5 cm P 3 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is ar*.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1 Calculate the volume of the ball.
Hint: The volume of the ball is equal to the volume of water displaced by the ball.
2 Calculate the radius of the ball. Leave your answer in terms of T and a surd if necessary.
3 Suppose the radius of a second solid metal ball, B2, is half the radius of ball B1. Suppose ball
B2 was put into the tank of water instead of ball BỊ. Would the surface of the water be 4cm
below the top of the tank? Explain your answer.
Transcribed Image Text:1 Calculate the volume of the ball. Hint: The volume of the ball is equal to the volume of water displaced by the ball. 2 Calculate the radius of the ball. Leave your answer in terms of T and a surd if necessary. 3 Suppose the radius of a second solid metal ball, B2, is half the radius of ball B1. Suppose ball B2 was put into the tank of water instead of ball BỊ. Would the surface of the water be 4cm below the top of the tank? Explain your answer.
A glass tank is 25cm long, 20cm wide, 30cm high and contains water. The surface of the water is 5
cm below the top of the tank. After a solid metal spherical ball B1 has carefully been placed into the
tank, the surface of the water is 3cm below the top of the tank.
$5 cm
3 cm
30 cm
20 cm
25 cm
(The formula for the volume of a sphere (ball) is Tr*.)
Transcribed Image Text:A glass tank is 25cm long, 20cm wide, 30cm high and contains water. The surface of the water is 5 cm below the top of the tank. After a solid metal spherical ball B1 has carefully been placed into the tank, the surface of the water is 3cm below the top of the tank. $5 cm 3 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is Tr*.)
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