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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. 1$5 cm 3 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is ar.) .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 B1. 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. 1$5 cm 3 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is ar.) .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 B1. Would the surface of the water be 4cm below the top of the tank? Explain your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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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. 1t5 cm 03 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is Tr.) .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 a 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 B1. Would the surface of the water be 4cm below the top of the tank? Explain your answer.
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. 1t5 cm 03 cm 30 cm 20 cm 25 cm (The formula for the volume of a sphere (ball) is Tr.) .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 a 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 B1. Would the surface of the water be 4cm below the top of the tank? Explain your answer.
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