SSC (Marathi Semi-English) 10thMaharashtra State Board
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# Choose the Correct Alternative Answer for Each of the Following Questions.(5) the Curved Surface Area of a Cylinder is 440 Cm 2 and Its Radius is 5 Cm. Find Its Height. - SSC (Marathi Semi-English) 10th - Geometry

ConceptProblems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle

#### Question

Choose the correct alternative answer for each of the following questions.

(5) The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.

• (A)  $\frac{44}{\pi}$ cm

•  (B) 22 $\pi$ CM

• (C) 44 $\pi$ CM

• (D) $\frac{22}{\pi}$ cm

#### Solution

(5) Radius of the cylinder, r = 5 cm
Let the height of the cylinder be h cm.
Curved surface area of the cylinder = 440 cm2

$\therefore 2\pi h = 440$
$\Rightarrow h = \frac{440}{2\pi r}$
$\Rightarrow h = \frac{440}{2\pi \times 5} = \frac{44}{\pi} cm$

Thus, the height of the cylinder is $\frac{44}{\pi}$cm.

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#### APPEARS IN

Solution Choose the Correct Alternative Answer for Each of the Following Questions.(5) the Curved Surface Area of a Cylinder is 440 Cm 2 and Its Radius is 5 Cm. Find Its Height. Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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