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.
Ncert Math Solutions Class 9th Chapter 13 Surface Areas and Volumes Exercise 13.6 Question 6
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
Ncert Math Solutions Class 9th Chapter 13 Surface Areas and Volumes Exercise 13.6 Question 5
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If
the cost of painting is at the rate of Rs 20 per
, find
(i) inner curved surface area of the vessel,
(ii) radius of the base,
(iii) capacity of the vessel.
Ncert Math Solutions Class 9th Chapter 13 Surface Areas and Volumes Exercise 13.6 Question 4
If the lateral surface of a cylinder is 94.2
and its height is 5 cm, then find
(i) radius of its base (ii) its volume. (Use π = 3.14)
Solution:
Let base radius of cylinder
Height of cylinder
cm
Lateral surface area of cylinder
Therefore,
cm
Volume of cylinder
Ncert Math Solutions Class 9th Chapter 13 Surface Areas and Volumes Exercise 13.6 Question 3
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 circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
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