Volume of a Cylinder

IMPORTANT

Volume of a Cylinder: Overview

This topic covers concepts & such as Volume of a Cylinder etc.

Important Questions on Volume of a Cylinder

EASY
IMPORTANT

The curved surface area of a right circular cylinder of basis radius r is obtained by multiplying its volume by

MEDIUM
IMPORTANT

The radius of a solid right circular cone increases by 20% and its height decreases by 20%. The percentage change in its volume is:

EASY
IMPORTANT

Water flows at the rate of 10 m per minute through a cylindrical pipe with internal diameter 2 cm. How long (in minutes) would it take to fill completely a conical vessel whose radius is 50 cm and depth 45 cm.

HARD
IMPORTANT

Mark True or False.

  1. The length of the iron sheet 11 cm wide required for making an open cylinder 15 cm high and 7 cm as base radius (π=22/7) is 74 cm.
  2. The radius of the cylinder is made twice as large. The height be reduced by 25%, so that volume remains the same as before?
  3. The radii of the two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is 20 : 27.
  4. If the radius of the base of the right circular cylinder is reduced by 50%, keeping the same height then the volume of the new cylinder is 25% of that of the original.

Codes:

HARD
IMPORTANT

If QR=3PQ, What portion of the cylinder is empty to that of filling one.
Question Image

HARD
IMPORTANT

 Given a cylinder and one of its cross-sections parallel to the axis of cylinder. Distance between the cross-section and the axis of the cylinder is 15 cm, a diagonal of the cross-section is 289cm. The radius of the base is 17 cm. The volume of the cylinder is kπ. What is the value of k?

HARD
IMPORTANT

The Diagonal of an axial cross-section of a cylinder is 20 cm and makes 60ο angle with the plane of the base of the cylinder. The volume of the cylinder is kπ3 cu cm. What is the value of k?

EASY
IMPORTANT

Cotyledons are also called-