Question

Lower part is hemisphere and upper part is cone .find volume and surface area

Answer 1

Hey.

Here is the answer.

Let the radius of the hemispherical part and base of the conical part be r

height of conical part be h

The slant height of conical part be L

So, volume of conical part = 1/3πr^2h

and volume of hemispherical part = 2/3πr^3

So, total volume = 1/3πr^2h + 2/3πr^3

= 1/3πr^2( h + 2r )

Surface area of the conical part= πrL

surface area of hemispherical part = 2πr^2

so, total surface area = πrL + 2πr^2

= πr ( L + 2r )

Thanks.