Question

The curved surface area of a right circular cone is 198 cm² and the radius of its base is 7 cm. Find
the volume of the cone.​

Answer 1

Answer:

290.03cm³

Step-by-step explanation:

curved surface area=πrl=198cm²,(l=√(r²+h²))

where l is slant height of the cone

given;

r=7cm

volume of the the cone = 1/3πr²h

πrl=198

22/7×7×l=198

22l=198

l=9cm

l=√(r²+h²)

9=√(7²+h²)

81=49+h²

h²=32

h=5.65cm

so, volume of cone= 1/3πr²h

v=1/3×22/7×7×7×5.65

=290.03cm³