QQuestion
The volume of a cylinder of height 3 cm is 48π cm3. The radius of the cylinder is:
(a) 48 cm
(b) 16 cm
(c) 4 cm
(d) 24 cm
✓Answer
(c) 4 cm
Explanation:
Let the radius of the cylinder be r cm.
Given, h = 3 cm and volume = 48π cm3.
⇒ Volume of cylinder = πr2h
⇒ 3πr2 = 48π
⇒ 3r2 = 48
⇒ r2 = \frac{48}{3} =16
⇒ r = √16 = 4
Therefore, the radius is 4 cm.
Related Questions
More ICSE Easy level questions
A solid is in the shape of a hemisphere of radius 7 cm, surmounted by a cone of height 4 cm. The solid is immersed completely in a cylindrical container filled with water to a certain height. If the radius of the cylinder is 14 cm, find the rise in the water level.
If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is: (a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
A rectangular sheet of paper of size 11 cm × 7 cm is first rotated about the side 11 cm and then about the side 7 cm to form a cylinder, as shown in the diagram. The ratio of their curved surface areas is: (a) 1 : 1 (b) 7 : 11 (c) 11 : 7 (d)
A solid metallic cylinder is cut into two identical halves along its height. The diameter of the cylinder is 7 cm and the height is 10 cm. Find: (a) The total surface area of both the halves. (b) The total cost of painting the two halves at the rate of ₹30 per cm². (Use π = 22/7)
Oil is stored in a spherical vessel, occupying of its full capacity. The radius of the spherical vessel is 28 cm. This oil is then poured into a cylindrical vessel with radius 21 cm. Find the height of the oil in the cylindrical vessel, correct to the nearest centimetre. (Take π = )
Which of the following cannot be determined graphically for a grouped frequency distribution? (a) Median (b) Mode (c) Quartiles (d) Mean
The solution set for the inequation 2x + 4 ≤ 14, x ∈ W is: (a) {1, 2, 3, 4, 5} (b) {0, 1, 2, 3, 4, 5} (c) {1, 2, 3, 4} (d) {0, 1, 2, 3, 4}
Naveen deposits ₹800 every month in a recurring deposit account for 6 months. If he receives ₹4884 at the time of maturity, then the interest he earns is: (a) ₹84 (b) ₹42 (c) ₹24 (d) ₹284
The mean proportional between 4 and 9 is: (a) 4 (b) 6 (c) 9 (d) 36
What number must be added to each of the numbers 4, 6, 8 and 11 so that the resulting four numbers are in proportion?
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random. Find the probability that the number on the card drawn is: (a) a multiple of 5 (b) a perfect square (c) a prime number.
The 5th term and the 9th term of an Arithmetic Progression are 4 and −12 respectively. Find: (a) the first term (b) the common difference (c) the sum of 16 terms of the A.P.