A hemisphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surfaces will be
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 = $$\sqrt{R^2+R^2}$$
$$\frac{\text{Hemisphere Curved surface area}}{\text{Cone Curved surface area}}=\frac{2\pi R^2}{\pi R \sqrt{2}R}$$
√2 : 1
Create a FREE account and get:
Day-wise Structured & Planned Preparation Guide
By proceeding you agree to create your account
Free CAT Schedule PDF will be sent to your email address soon !!!
