A wafer cone is completely filled with icecream forms a hemispherical scoop, just covering the cone. The radius of the top of the cone, as well as the height of the cone are 7 cm each. Find the volume of the icecream in it (in `cm^(3)`). (Take `pi=22//7` and ignore the thickness of the cone)

Options

A. 1176
B. 1980
C. 1078
D. 1274

Explanation

Required volume = Volume of the icecream forming the hemisphere + Volume of the icecream within the cone.
Radius of the hemisphere shape = Radius of the cone = 7 cm
` :. "Required volume"=(2)/(3)pi(7)^(3)+(1)/(3) pi (7)^(3)`
`=pi (7)^(3)-(22)/(7)(7)^(3)-(22)(49)`
`=1078 cm^(3)`.