# Choose the Correct Alternative Answer for the Following Question. Find the Curved Surface Area of a Cone of Radius 7 Cm and Height 24 Cm. - Geometry

#### Question

Choose the correct alternative answer for the following question.

Find the curved surface area of a cone of radius 7 cm and height 24 cm.
##### Options
• 440 cm

• 550 cm2

• 330 cm

• 110 cm2

#### Solution

Radius of the cone, r = 7 cm
Height of the cone, h = 24 cm
Let l be the slant height of the cone.

$l = \sqrt{r^2 + h^2} = \sqrt{7^2 + {24}^2} = \sqrt{49 + 576} = \sqrt{625}$ = 25 cm

∴ Curved surface area of the cone = $\pi r l = \frac{22}{7} \times 7 \times 25$ = 550 cm2

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