NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 12: Surface Areas & Volumes - Exercise 12.1
Question 1

Question.  1

A cylindrical pencil sharpened at one edge is the combination of

(A)

a cone and a cylinder

(B)

frustum of a cone and a cylinder

(C)

a hemisphere and a cylinder

(D)

two cylinders

Detailed Answer with Explanation:

Step 1: Think of a new pencil before sharpening. Its body is in the shape of a cylinder (like a long pipe). A cylinder has two flat circular faces at the ends and a curved surface all around.

Step 2: When we sharpen one end, the wood and lead are cut to form a pointed tip. This pointed tip is shaped like a cone. A cone has a flat circular base and a curved surface that comes to a sharp point (called the vertex).

Step 3: So now the pencil is made of two parts joined together: - The cylindrical body (main length of the pencil). - The conical tip (sharpened part).

Final Answer: The pencil is the combination of a cone and a cylinder.

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 12: Surface Areas & Volumes – Exercise 12.1 | Detailed Answers