Question

The volume of a right circular cone is 9856 cm cube and the area of its base is 616 cm square.
Find:-
1. The slant height of the cone.
2. Total surface area of the cone

Answer 1

Hey!!

Here's your answer..

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Volume of Cone = 9856 cm³

Area of base of come = 616 cm²

Area of base = 616
πr² = 616
22/7 × r² = 616
r² = 616/22 × 7
r² = 28 × 7
r² = 196
r = √196
r = 14 cm

Volume = 9856
⅓πr²h = 9856
⅓ × 22/7 × 14 × 14 × h = 9856
h = ( 9856×3×7 )/( 22×14×14 )
h = 48 cm

Ans. (1)

slant height = l

l² = r² + h²
l² = ( 14 )² + ( 48 )²
l² = 196 + 2304
l² = 2500
l = √2500
l = 50 cm

slant height of cone is 50 Cm.

Ans. (2)

T. S. A = πr ( l+r )

= 22/7 × 14 ( 50 + 14 )

= 22 × 2 ( 64 )

= 44 ( 64 )

= 2816 cm²
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Hope it helps..
Thanks : )

Answer 2

here is your answer....

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