Question

A hemisphere and a cone have equal bases, if their heights are also equal, the ratio of their

curved surface will be

Answer 1

Answer: √2:1

Step-by-step explanation:

Given

1. Radius of hemisphere = radius of cone.

2. Height of hemisphere = Height of

Cone

i.e. radius of hemisphere = height of cone

Curved surface area of hemisphere =2×πr²

Curved surface area of cone = πrl

l = √(2)×r

Ratio of their curved surface area

= 2×πr² : πr√(2)r

=2 : √2

= √2 : 1

For diagram see the photo.

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