Question

In a adjoining figure,a sphere is placed in a cylinder.It touches the top,bottom and curved surface of cylinder .If radius of base of cylinder is r then write answer of following questions:- 1.what is the height of the cylinder in terms of r 2.what is the ratio of curved surface area of clyinder and surface area of sphere 3.What is the ratio of volume of cylinder and of sphere​

Answer 1

Answer:

1)h= 1/pi*r*r

2)(h+r):2r

3)3h:4r

hope this will help you

Answer 2

the ratio of volume of cylinder to the volume of sphere=3:2

#Learns more:1.The height of cylinder=2r

2.The ratio of curved surface area of cylinder to the  surface area of sphere=1:1

3.The ratio of volume of cylinder to the volume of sphere=3:2

Step-by-step explanation:

Radius of base of cylinder=r

Radius of sphere=r

Let h be the height of cylinder

1.Height of cylinder=Diameter of sphere

Diameter of sphere=2r

h=2r

Hence, the height of cylinder=2r

2.Curved surface area of cylinder=$2\pi rh$

Surface are of sphere=$4\pi r^2$

Substitute the value of  h

Curved surface area of cylinder=$2\pi r(2r)=4\pi r^2$

$\frac{curved\;surface\;area\;of\;cylinder}{Surface\;area\;of\;sphere}=\frac{4\pi r^2}{4\pi r^2}=1:1$

Hence, the ratio of curved surface area of cylinder and surface area of sphere=1:1

3.Volume of cylinder=$\pi r^2h$

Substitute the value of h

Volume of cylinder=$\pi r^2(2r)=2\pi r^3$

Volume of sphere=$\frac{4}{3}\pi r^2$

$\frac{Volume\;of\;cylinder}{volume\;of\;sphere}=\frac{2\pi r^3}{\frac{4}{3}\pi r^3}=\frac{3}{2}$

Hence, the ratio of volume of cylinder to the volume of sphere=3:2

#Learns more:

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