In a right circular cone, the cross-section made by a plane parallel to the base is a
a. circle
b. frustum of a cone
c. sphere
d. hemisphere

Solution:

We know that

A cone is a solid which has a single vertex and a circular base

It is a right circular cone if the vertex is over the centre of its base

Therefore, the cross-section made by a plane parallel to the base is a frustum of a cone.

✦ Try This: Find the volume of a right circular cone 1.02 m high, if the radius of its base is 28 cm.

We know that

Volume of a right circular cone = 1/3 π r²h

Where r is the radius

It is given that

r = 28 cm

h = 1.02 m = 102 cm

Substituting the values in the formula

V = 1/3 × 22/7 × 28 × 28 × 102

V = 83776 cm³

Therefore, the volume of a right circular cone is 83776 cm³.

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

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 19

In a right circular cone, the cross-section made by a plane parallel to the base is a a. circle, b. frustum of a cone, c. sphere, d. hemisphere

Summary:

In a right circular cone, the cross-section made by a plane parallel to the base is a frustum of a cone

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