1. A hemisphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surfaces will be
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By: anil on 05 May 2019 02.01 am
Let the radius of hemisphere and cone be R,
Height of hemisphere H = R.
So the height of the cone = height of the hemisphere = R
Slant height of the cone = $$sqrt{R^2+R^2}$$
$$frac{ ext{Hemisphere Curved surface area}}{ ext{Cone Curved surface area}}=frac{2pi R^2}{pi R sqrt{2}R}$$
√2 : 1
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Height of hemisphere H = R.
So the height of the cone = height of the hemisphere = R
Slant height of the cone = $$sqrt{R^2+R^2}$$
$$frac{ ext{Hemisphere Curved surface area}}{ ext{Cone Curved surface area}}=frac{2pi R^2}{pi R sqrt{2}R}$$
√2 : 1