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What is the height of a cylinder to the nearest inch if r10 and the volume is 6283 cubic inches?
To find the height of a cylinder, we can use the formula for the volume of a cylinder: ( V = \pi r^2 h ). Given the volume ( V = 6283 ) cubic inches and the radius ( r = 10 ) inches, we first calculate the area of the base: ( \pi (10)^2 = 100\pi ). Now, substituting into the volume formula: ( 6283 = 100\pi h ), we can solve for ( h ): ( h = \frac{6283}{100\pi} \approx 20 ) inches. Thus, the height of the cylinder is approximately 20 inches.
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