Question

The curved surface area of a cylinder is 44cm^2 and the radius is 7cm.Identify the volume of the cylinder

Answer 1

Answer:

$\large{\underline{\boxed{\sf Volume \: of \: cylinder = 154 \: cm^3 }}}$

Step-by-step explanation:

Given that -

The curved surface area of 44 cm².

⇒ 2 π r h = 44 cm²

⇒ 2 * $\sf \dfrac{22}{7}$ * 7 * h = 44

⇒ h = $\sf \dfrac{44 * 7}{2 * 22 * 7}$

⇒ h = 1 cm

Now, we need to find volume of cylinder. We know that -

⇒ Volume of cylinder = π r² h

⇒ Volume = $\sf \dfrac{22}{7} * 7 *7 * 1$

⇒ Volume = $22 * 7 * 1$

⇒ Volume = 154 cm³

Hence, the volume of cylinder is 154 cm³.

Answer 2

$\huge {\boxed {\bold {\color {red} {Answer:--}}}}$

$\huge {\boxed {\bold {\color {red} {154cm^3}}}}$

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Given—

The curved surface area of 44 cm².

⇒ 2 π r h = 44 cm²

⇒ 2 × $\sf \dfrac{22}{7}$ × 7 × h = 44

⇒ h = $\sf \dfrac{44 × 7}{2 × 22 × 7}$

⇒ h = 1 cm

We know —

⇒ Volume of cylinder = π r² h

⇒ Volume = $\sf \dfrac{22}{7} × 7 × 7 × 1$

⇒ Volume = $22 × 7 × 1$

⇒ Volume = 154 cm³

Therefore , the volume of cylinder is 154 cm³.

$\huge{\red{\ddot{\smile}}}$