How to find the radius of a sphere

Practice Questions

PSAT Math › How to find the radius of a sphere

Questions
9
1

If a sphere has a volume of , then what is the radius of the sphere?

2

A cube with volume 27 cubic inches is inscribed inside a sphere such that each vertex of the cube touches the sphere. What is the radius, in inches, of the sphere?

3

The Kelvin temperature scale is basically the same as the Celsius scale except with a different zero point; to convert degrees Celsius to Kelvins, add 273. Also, by Charles's law, the volume of a given mass of gas varies directly as its temperature, expressed in Kelvins.

In the early morning, when the temperature is , a spherical balloon is filled with helium until its radius is 100 meters. At 2:00 PM, the temperature is . To the nearest tenth of a meter, what is the radius of the balloon at this time?

4

Find the radius of a sphere whose volume is .

5

The Kelvin temperature scale is basically the same as the Celsius scale except with a different zero point; to convert degrees Celsius to Kelvins, add 273. Also, by Charles's law, the volume of a given mass of gas varies directly as its temperature, expressed in Kelvins.

A spherical balloon is filled with 10,000 cubic meters of gas in the morning when the temperature is . The temperature increases to by noon, with no other conditions changing. What is the radius of the balloon at noon, to the nearest tenth of a meter?

6

The city of Washington wants to build a spherical water tank for the town hall. The tank is to have capacity 120 cubic meters of water.

To the nearest tenth, what will the radius of the tank be?

7

A spherical tank is to hold 50,000 liters of water. Given that one cubic meter is equal to 1,000 liters, give the radius of this tank to the nearest tenth of a meter.

8

The surface area of a sphere is 100π square feet. What is the radius in feet?

9

A spherical water tank has a surface area of 400 square meters. To the nearest tenth of a meter, give the radius of the tank.

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