Home
Class 12
MATHS
Find the dimensions of the rectangle of ...

Find the dimensions of the rectangle of perimeter 36 cm which will sweep out a volume as large as possible, when revolved about one of its sides. Also, find the maximum volume.

Text Solution

Verified by Experts

The correct Answer is:
12 cm. 6 cm
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1F|9 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1A|9 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1D|11 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Find the dimensions of the rectangle of perimeter 36cm which will sweep out a volume as large as possible when revolved about one of its sides.

Find the dimensions of the rectangle of perimeter 36cm which will sweep out a volume as large as possible when revolved about one of its sides.

Find the dimension of a rectangle whose perimeter is 112 cm and whose breadth is 4 cm less than half its length.

Find the dimensions of a rectangle with perimeter 72 units and whose length is five times its breadth. Also, find its area.

The largest sphere is carved out of a cube of a side 7cm. Find the volume of the sphere.

The larges sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

The larges sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere.

The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

Find the volume of a cube whose side is 7cm.