A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7m and height of the cone is 1m, what is the area of cloth required? (√=1.414)
Area of the cloth required = C.S.A of Hemisphere + C.S.A of cone
Area of the cloth required = 2πr2+πrl....(i)
For calculating the surface area of a cone we need to calculate its slant height,
l = √=√ m = √=5√ m.
Substituting the values in equation (i)
Area of the cloth required = πr(2r+l)