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Question

A right circular cone has an altitude of 40 cm and a diameter of 60 cm. The slant height of the cone is

A

50 cm

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B

25 cm

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C

30 cm

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D

20 cm

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Solution

The correct option is B: 50 cm

Diameter =60 cm

Radius, (r)=302=30 cm

Altitude = Height, (h)=40 cm

Let the slant height be L cm.


Slant height is given by the formula

L2=r2+h2

L=r2+h2

L=302+402

L=900+1600

L=2500

L=50×50

L=50 cm

Hence, the slant height of the cone is 50 cm


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