Question

The curved surface area of a cylinder is 176 cm^2, its height is 8 cm, then find its volume.​

Answer 1

Answer:

$\mathfrak{❥ Question:-}$

The curved surface area of a cylinder is 176 cm²

The curved surface area of a cylinder is 176 cm²and its base area is 38.5 cm² . Find the volume of the cylinder and justify your answer.

$\mathfrak{✪Answer:-}$

Base area of cylinder =πr²

=38.5cm² (Given)

$⇒πr² =38.5$

$⇒r^{2} = \frac{38.5×7}{22} \\ r = \sqrt{12.25 } = 3.5 \: cm \\ </p><p>CSA \: of \: cylinder =2πrh=176cm ^{2} \: (Given) \\ </p><p>2πrh=176 \\ ⇒h = \frac{176 \times 7}{2 \times 22 \times 3.5} = 8 \: cm \\ Therefore, \\ Volume \: of \: cylinder =πr^{2} h \\ = \frac{22}{7} \times (3.5)^{2} \times 8 = 308 \: cm ^{3} </p><p></p><p></p><p></p><p>$

Step-by-step explanation:

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