Home
Class 9
MATHS
A lead pencil consists of a cylinder of ...

A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.

Text Solution

Verified by Experts

The correct Answer is:
The volume of wood is 5.28 `cm^(3)` and the volume of graphite is 0.11 `cm^(3)`.
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise EXERCISE 13.7|9 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise EXERCISE 13.8|10 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise EXERCISE 13.5|9 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise SUMS TO ENRICH REMEMBER|9 Videos

Similar Questions

Explore conceptually related problems

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm^(3) of wood has a mass of 0.6 g.

A medicine capsule is in the shape of a cylinder with two hermispheres stuck to each of its end [see te given figure]. The length of the entire capsule is 14 mm and the dimaeter of the capsule is 5 mm. find the surface area.

Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

The curved surface area of a cylinder is 110 cm^(2) and its diameter is 7 cm. Find the height of the cylinder.

A vesel is in the form of a hemispherical bowl surmounted by a hollow cylinder. Thye diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the capacity of the vessel.

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder the diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

A cylindrical pencil is sharpened to produce a perfect cone at one end with no over all its length. The diameter of the pencil is 1 cm and the length of the conical portion is 2 cm. Calculate the volume of the peels. Give your answer correct to two places if it is in decimal [use pi=(355)/(113) ]

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the capsule is 14 mm and the thickness is 5 mm. Find its surface area.

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm 3.5 cm . The radius of each of the depression is 0.5 cm and the depth is 1.4 cm find the volume of wood in the entire stand (See the given figure).