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The curved surface area of right circular cone of radius 21cm is 1518cm2cm^2cm2​. What is the slant height of the cone?(Use π=227\pi =\frac{22}{7}π=72
Question

The curved surface area of right circular cone of radius 21cm is 1518cm2cm^2​. What is the slant height of the cone?(Use π=227\pi =\frac{22}{7}​)

A.

21cm

B.

25cm

C.

23cm

D.

27cm

Correct option is C

Given:

Curved surface area of cone = 1518cm2cm^{2}​​

Radius of cone =21cm

Formula Used:

Lateral surface area of cone =πrl \pi r l​​

Solution:

Curved surface area of cone = πrl\pi r l​​

πrl=1518\pi r l =1518​​

227(21)l=1518cm2\frac{22}{7} (21) l = 1518cm^{2}​​

l=1518×722×121=23cml = 1518 \times \frac{7}{22} \times \frac{1}{21} = 23cm

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