Home
Class 9
MATHS
A right triangle ABC with sides 5 cm, 12...

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the  side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in by revolving about the side 12 cm and 5 cm

Text Solution

AI Generated Solution

To solve the problem step by step, we will first find the volume of the solid obtained by revolving the right triangle ABC around the side of length 5 cm, and then we will find the volume when it is revolved around the side of length 12 cm. Finally, we will calculate the ratio of these volumes. ### Step 1: Identify the dimensions of the triangle The right triangle ABC has sides of lengths 5 cm, 12 cm, and 13 cm. Here, we can identify: - The side of length 5 cm as the height (h) when revolving around it. - The side of length 12 cm as the radius (r) when revolving around the height. ### Step 2: Volume of the solid obtained by revolving around the side of length 5 cm ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.6|8 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise EXERCISE 13.1|8 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.4|9 Videos

  • STATISTICS

    NCERT ENGLISH|Exercise Exercise 14.2|9 Videos

  • TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 7.2|8 Videos

Similar Questions

Explore conceptually related problems

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.Find the volume of the solid so obtained.

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the solid so formed.

A right triangle ABC with its sides 5 cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle ABC is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

A right triangle ABC with its sides 5 cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle ABC is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

A right triangle A B C with its dies 5cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle A B C is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

A right angle triangle with sides 3 cm and 4 cm is revolved around its hypotenuse . Find the volume of the double cone thus generated.

The area of the triangle whose sides. are 5 cm, 13 cm and 12 cm is

A Right triangle whose sides are 15 cm and 20 cm; is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revolved about the sides containing the right angle in two ways. Find the difference in volumes of the two cones so formed. Also, find their curved surfaces.

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.