Question

A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface area is:

Answer 1

for the cylinder and the sphere,
radius =r
height=h

required ratio=2πr(h+r):2/3πr³
=3(h+r):r²

Answer 2

The ratio of their whole surface area is 1:1

Step-by-step explanation:

We are given that A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height.

So, Radius of cylinder = Radius of hemisphere

Height of cylinder = height of hemisphere

We know that Height of hemisphere = Radius of hemisphere

So,  Radius of cylinder = Radius of hemisphere =Height of cylinder = height of hemisphere

Total surface area of hemisphere =$3 \pi r^2$

Total surface area of cylinder = $2\ pi r h +\pi r^2 =  2\ pi (r)( r) +\pi r^2=3\pi r^2$

The ratio of their whole surface area =$\frac{3 \pi r^2}{3 \pi r^2}=\frac{1}{1}$

The ratio of their whole surface area is 1:1

#Learn more :

A cone hemisphere and a cylinder stand on the same base and have equal height find the ratio of their curved surface area

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