SSC (Marathi Semi-English) 10thMaharashtra State Board
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# Choose the Correct Alternative Answer for Each of the Following Questions.(4) Find the Curved Surface Area of a Cone of Radius 7 Cm and Height 24 Cm.(A) 440 Cm2 (B) 550 Cm2 (C) 330 Cm2 (D) 110 Cm2 - 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.

(4) Find the curved surface area of a cone of radius 7 cm and height 24 cm.

• (A) 440 cm

• (B) 550 cm2

• (C) 330 cm

• (D) 110 cm2

#### Solution

(4)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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#### APPEARS IN

Solution Choose the Correct Alternative Answer for Each of the Following Questions.(4) Find the Curved Surface Area of a Cone of Radius 7 Cm and Height 24 Cm.(A) 440 Cm2 (B) 550 Cm2 (C) 330 Cm2 (D) 110 Cm2 Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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