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1. A cylindrical paint can is 6.2 inches across the top and 8.9

inches high. How many cubic inches of paint could it hold? Round

your answer to the nearest tenth.

Answer :

The volume can be found using the formula for the volume of a cylinder, V = πr²h, where r is the radius and h is the height. Using the given dimensions of the paint can, the volume is found to be approximately 267.8 cubic inches.

The question is related to the computation of the volume of a cylinder which is a mathematical concept in geometry. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base, h is the height and π is approximately 3.1416.

In this case, the paint can is given a diameter (the full length across the circle) of 6.2 inches, but we need the radius (half the diameter) for our calculation. So, the radius is 6.2/2 = 3.1 inches. The height of the can is given as 8.9 inches.

Therefore, the volume of the paint can is V = π * (3.1 inches)² * 8.9 inches. Performing the calculation, we get that the volume of the paint can is approximately 267.8 cubic inches.

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