A day full of math games & activities. Find one near you.

During conversion of a solid from one shape to another, the volume of the new shape will
a. increase
b. decrease
c. remain unaltered
d. be doubled

Solution:

We know that volume is the amount of space occupied by the object or a substance or which is enclosed in a container.

From the definition, volume is constant

Therefore, the volume of the new shape will remain unaltered.

✦ Try This: A solid sphere of radius x cm is melted and recast into a shape of a solid cone of radius x cm. The height of the cone is:

Consider h cm as the height of the cone

After recasting, we know that the volume remains unchanged.

Volume of cone = Volume of sphere

1/3 πx²h = 4/3 πx³

By further calculation

x²h = 4x³

So we get

h = 4x

Therefore, the height of the cone is 4x cm.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 17

During conversion of a solid from one shape to another, the volume of the new shape will a. increase, b. decrease, c. remain unaltered, d. be doubled

Summary:

During conversion of a solid from one shape to another, the volume of the new shape will remain unaltered

☛ Related Questions: