# The circumference of the base of 12m high wooden solid is 44m.find the volume of cone and total surface area

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by amanpal

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by amanpal

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2πr=44⇒r=7m

Slant height of cone=√r²+h²⇒√193

Volume of cone=1/3πr²h⇒1/3x22/7x7x7x12=616m³

TSA of cone=πr(r+l)⇒22/7x7(7+√193)⇒22(7+13.89)⇒459.8m²

2πr= 44

=7m

Salent height of circle= √r²+h²=√7²+12²=

√49+144= √193m

Volume of cone= 1/3πr²h= 1/3*22/7*7*7*12

=1296/21= 616m²

Total surface area of cone = πr(r+l)= 22/7*7(7=√193)

22(7+13.89)=616m²