Question

The radius and height of a cylinder are in the ratio 4:7 and its volume is 1188 cubic cm. Find its radius.

Answer 1

Answer:

#anshika

FOLLOW UP ..........

Answer 2

Answer:

the radius of cylinder is 6 cm

Step-by-step explanation:

Given that

Ratio of Radius and height of cylinder = 4:7 respectively

Volume of cylinder = 1188 $cm^{3}$

Let the radius of cylinder be 4x

let the height of cylinder be 7x

We know that,

The formula for the volume of a cylinder is V =  $\pi r^{2}$ * h,

where V is the volume, r is the radius, and h is the height.

Given that the ratio of the radius to the height is 4:7 and the volume is 1188 cubic cm, we can set up the equation:

V = $\pi r^{2}$*h

(Take $\pi$ = 22/7)

1188 = 22/7 * 4x*4x*7x

1188 = 22*16$x^{3}$

16$x^{3}$ = 1188/22

$x^{3}$ = 3.375

x = 1.5 cm

Putting the value of x into 4x

Radius of cylinder = 4x

Radius of cylinder= 4*1.5 = 6 cm

Height of cylinder = 7x

Height of cylinder = 7* 1.5 = 10.5 cm

So, the radius of cylinder is 6 cm

• A cylinder is a three-dimensional geometric shape that has two parallel, circular bases connected by a curved surface. It is one of the most basic shapes in geometry and is commonly found in everyday objects such as cans, pipes, and paper rolls.

• The volume of a cylinder is given by the formula V = π * r^2 * h, where V is the volume, r is the radius of the base, and h is the height.

• The surface area of a cylinder is given by the formula A = 2πr^2 + 2πrh, where A is the surface area, r is the radius of the base and h is the height.

• The mathematical constant, pi (π), represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means that it cannot be expressed as a fraction and its decimal representation goes on forever without repeating. Its approximate value is 3.14 or 22/7. The value of pi is used in many mathematical calculations, particularly in geometry and trigonometry, for example in calculating the area of a circle or the length of an arc.

To learn more about cylinder from the link below

https://brainly.in/question/1186366

To learn more about three-dimensional geometric shape from the link below

https://brainly.in/question/25066617

#SPJ3