Question

the curved surface area of a cone is 1159 5/7 sq. CM. area of its base is 254 4/7 sq. CM find its volume. ​

Answer 1

Answer:

TharunKoriviEmerger Moderator

Answer:

=3,394.28571 cu.cm

Step-by-step explanation:

Area of the base=1,782/7

πr square=1782/7

22/7× r square=1782/7

22×r square=1782

r square=1782/22

r square=81

r=√81

r=9

Therefore radius of the cone=9cm

CSA of the cone=8,118/7cm

πrl=8118/7

22/7 ×9×l=8118/7

198×l=8118

l=8118/198

l=41

Therefore Slant height of the cone=41cm

Slant height square(l square)=r square+h square

l square - r square=h square

h=√l square- r square

=√41 square - 9 square

=√1681-81

=√1600

=40 cm

Therefore height of the cone=40cm

Volume of the cone=1/3 πr square h

=1/3 × 22/7 × 9 ×9×40

=22/7 × 3 ×9×40

=3,394.28571 cu.cm