Q. 95.0( 2 Votes )

# Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

Answer :

GIVEN : radius of cone “r” = 20cm

Slant height of cone “l” = 29cm

we take π =

TO FIND : volume of the cylinder “V” = ?

PROCEDURE :

As we know that, volume of cone “V” = × π r^{2}h

As we are not given the value of h, we have to find it.

As it is a right cone, l^{2} = r^{2} + h^{2}

h^{2} = l^{2} – r^{2}

= (29)^{2} – (20)^{2}

= 841 – 400

= 441

h^{2} = 441

h = √ 441 = 21cm

So now, we put the values of r and h in the above formula

We get, V = × π r^{2}h

= × π × (20)^{2}× (21)

= × × 400 × 21

= 8800

∴ volume of the given cone = 8800cm^{3}

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