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Write an expression for the volume of a cylinder with a height 7in. greater than the radius.
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Answer: 7 π r² + π r³ Explanation: 1) The general formula for the volumen, V, of a cylinder with radius r and height h is: V = π r² h 2) Now you have the condition that the height is 7 inches greater than the radius, that is: h = 7 + r 3) Replace h with its expression V = π r² (7 + r) 4) Expand the product (use distributive property): V = π (7r²) + π r³ = 7 π r² + π r³ Answer: 7 π r² + π r³