#### 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.

**Solution:**

#### A soft drink is available in two packs

(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and

(ii) a plastic cylinder with a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

**Solution:**

**More Solutions:**

- The length of the tangent to a circle is 24 cm and the distance of Q.
- If the angle between two radii of a circle is 130°.
- If tangents PA and PB from an exterior point P to a circle.
- At one end A of a diameter AB of a circle of radius 5 cm.
- AB is a chord of the circle such that ∠ACB = 50°.
- PA and PB are tangents to a circle with centre O.