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Find the volume of a right circular cone that has a height of 15.6 cm and a base with a radius of 7.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Question

Find the volume of a right circular cone that has a height of 15.6 cm and a base with a radius of 7.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

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Solution

To find the volume of a right circular cone, you can use the formula: V = 1/3πr²h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14159.

Step 1: Identify the values given in the problem. The radius r is 7.8 cm and the height h is 15.6 cm.

Step 2: Substitute these values into the formula. V = 1/3 * π * (7.8 cm)² * 15.6 cm.

Step 3: Calculate the square of the radius. (7.8 cm)² = 60.84 cm².

Step 4: Multiply this by the height and the constant π. V = 1/3 * π * 60.84 cm² * 15.6 cm = 1005.3096 cm³.

Step 5: Round this to the nearest tenth of a cubic centimeter. The volume of the cone is approximately 1005.3 cm³.

This problem has been solved

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