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The height of a right circular cone is 10 cm and its base radius is 24 cm. What is the curved surface area (in cm²) of the cone?
Question

The height of a right circular cone is 10 cm and its base radius is 24 cm. What is the curved surface area (in cm²) of the cone?

A.

640π

B.

620π

C.

624π

D.

580π

Correct option is C

Given:

Height of the cone h = 10 cm
Radius of the base r = 24 cm
Formula Used:
Curved Surface Area of a cone = πrl
where: r = radius of the base, l = slant height of the cone
l=r2+h2l = \sqrt{r^2 + h^2}
Solution:
l=242+102=576+100=676=26 cmCSA of cone=π×24×26=624π cm2l = \sqrt{24^2 + 10^2} = \sqrt{576 + 100} = \sqrt{676} = 26 \, \text{cm}\\\text{CSA of cone} = \pi \times 24 \times 26 = 624\pi \, \text{cm}^2​​
The curved surface area of the cone is 624π\pi​ cm².

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