Question

Let's think
As shown in the adjacent figure, a sphere is placed in a
cylinder. It touches the top, bottom and the curved surface
of the cylinder. If radius of the base of the cylinder is 'r',
(1) What is the ratio of the radii of the sphere and the
cylinder ?
(2) What is the ratio of the curved surface area of the
cylinder and the surface area of the sphere?
(3) What is the ratio of the volumes of the cylinder and the
sphere?
pl ans it fast tomorrow paper is there...​

Answer 1

Answer:

1. 1:1

2. 1:1

3. 3:2

according to the formula and h=2r also both have same radius

Answer 2

1.The radius of sphere and that of the cylinder is same .

so let the radius of both be R.

ratio of radius=R/R=1.

3.vol.of cylinder=πR²h

vol.of sphere=4/3πR³=4/3πR²h

ratio=πR²h/4/3πR²h

=3:4.

2.csa of cylinder /CSA of sphere

=2πRH/4πR²

=4πR²/4πR². (putting H=2R)

=1.