The following prism has a base area of $20 \pi$ square units and a volume of $120 \pi$ cubic units. The cylinder has the same base area and height.

What is the volume of the cylinder?
Choose 1 answer:
(A) 120 cubic units
(B) $120 \pi$ cubic units
(C) $120 \pi^{2}$ cubic units
(D) $120 \pi^{3}$ cubic units

Question

The following prism has a base area of $20 \pi$ square units and a volume of $120 \pi$ cubic units. The cylinder has the same base area and height.

What is the volume of the cylinder?
Choose 1 answer:
(A) 120 cubic units
(B) $120 \pi$ cubic units
(C) $120 \pi^{2}$ cubic units
(D) $120 \pi^{3}$ cubic units

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Given the base area of the cylinder is $20 \pi$ and the height is $\frac{120 \pi}{20 \pi} = 6$. ‖ ‖ step 2 ⋮ The volume of a cylinder is calculated by $V = ext{base area} imes ext{height}$. ‖ ‖ step 3 ⋮ Substituting the given values, we get $V = 20 \pi imes 6 = 120 \pi$. ‖ ∻[1] Answer∻ ***B*** ∻Key Concept∻ ⚹Volume of a Cylinder⚹ ∻Explanation∻ ⚹The volume of a cylinder is found by multiplying the base area by the height.⚹◊What is the formula for the volume of a cylinder given the base area and height?⍭ Generate me a similar question◊

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