Home
Class 9
MATHS
The curved surface of a right circular c...

The curved surface of a right circular cylinder is `4400 cm^(2)` and height is 50 cm. Find its volume and total surface area.

Text Solution

Verified by Experts

Height of cylinder h = 50 cm.
Let the radius of the base of cylinder = r cm
`therefore` Curved surface `= 2pi rh = 4400`
`rArr 2xx(22)/(7)xx r xx50=4400`
`rArr r=(4400xx7)/(2xx22xx50)=14 cm`
Now, volume of cylinder `= pi r^(2)h`
`=(22)/(7)xx14xx14xx50`
`=30800 cm^(3)`
and total surface area `=(2pi r(h+r)`
`=2xx(22)/(7)xx14(50+14)`
`=88xx64=5632 cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|24 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 13a|30 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|12 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Type Question)|8 Videos

Similar Questions

Explore conceptually related problems

The area of the base of a right circular cylinder is 42pi cm^(2) and height is 3.5 cm. Find its volume.

The area of base of a cylinder is 616 cm^(2) and height is 30 cm. Find its volume and total surface area.

The diameter of the base of a right circular cylinder is 42cm and its height is 10cm. Find the area of the curved surfaces and total surface area.

The area of the base of a right circular cylinder is 616\ c m^2 and its height is 2.5cm. Find the curved surface area of the cylinder.

The area of the base of a right circular cylinder is 616 c m^2 and its height is 25cm. Find the volume of the cylinder.

The area of the base of a right circular cylinder is 154\ c m^2 and its height is 15cm. Find the volume of the cylinder.

The area of the base of a right circular cylinder is 154\ c m^2 and its height is 15cm. Find the volume of the cylinder.

The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find : the total surface area.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.