Question

A cylinder of radius 3 cm is inscribed in a sphere of radius 5 cm then volume of cylinder is

Answer 1

of which class this question is

Answer 2

Volume of cylinder is 226.29 cubic centimeter.

Step-by-step explanation:

It is given that a cylinder of radius 3 cm is inscribed in a sphere of radius 5 cm.

Radius of cylinder = 3 cm.

Let h be the height of cylinder.

Center of the sphere divides the height of cylinder in two equal parts.

Using Pythagoras theorem,

$perpendicular^2+base^2=hypotenuse^2$

$(\frac{h}{2})^2+(3)^2=(5)^2$

$(\frac{h}{2})^2+9=25$

Subtract 9 from both sides.

$(\frac{h}{2})^2=16$

Taking square root on both sides.

$\frac{h}{2}=4$

Multiply both sides by 2.

$h=8$

The height of cylinder is 8cm.

Volume of cylinder is

$V=\pi r^2 h$

Substitute r=3, and h=8 in the above formula.

$V=\pi (3)^2 (8)$

$V=72\pi$

We know that $\pi=\frac{22}{7}$

$V=72(\frac{22}{7})$

$V=226.2857$

$V=226.29$

Therefore, the volume of cylinder is 226.29 cubic centimeter.

#Learn more

Cylinder A has radius 1 m and height 4 m. Cylinder B has radius 3 m and height 12 m. Find the ratio of the volume of cylinder A to the volume of cylinder B.

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