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2 years ago

Please help Worth 20 points Show the work

Mathematics

1 answer:

Dvinal [7]2 years ago

4 0

Answer:

area: 60π cm² ≈ 188.5 cm²
volume: 63π cm³ ≈ 197.9 cm³
doubling the radius

Step-by-step explanation:

The surface area of a right cylinder is given by the formula ...

SA = 2πr(r +h) . . . . . radius r, height h

Filling in the given values, we find the area to be ...

SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²

The volume of the cylinder is given by the formula ...

V = πr²h . . . . . radius r, height h

Filling in the given values, we find the volume to be ...

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³

The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.

The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.

4 > 3, so doubling the radius gives the most volume

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3 years ago

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3 years ago

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3 years ago

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