Question

The volume of a right circular cylinder is 448 Pie CM square and height 7 cm find the lateral surface area and total surface area

Answer 1

ANSWER:

Lateral Surface Area = 198.80 cm².

Surface area = 327.17 cm²

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EXPLANATION:

$\boxed {\text {Volume of a cylinder = } \pi r^2 h}$

Given volume = 449 cm³ and height = 7cm

Find radius:

πr²(7) = 449

r² = 449 ÷ 7π

r² = 20.42

r = √20.42

r = 4.52 cm

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Find lateral surface area:

$\boxed {\text{Lateral Surface Area =} 2 \pi r h }$

Lateral Surface area = 2π(4.52)(7) = 198.80 cm²

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Find Surface Area:

$\boxed {\text {Surface area =} 2\pi r^2 + 2\pi rh}$

Surface area = 2π(4.52)² + 198.8 = 128.37 + 198.8 = 327.17 cm²