Question

In the following questions, two statements (i) and (ii) are given. Choose the valid statement.

1. The length of the longest pole that can be put in a room of dimensions 6 m × 8 m × 10 m is 12 m.
2. Perimeter of a semi-circle of radius r is (π + 2)r.

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (ii)

Explanation:

(i) False: The longest pole fits along the space diagonal of the cuboid:

Length = `sqrt(6^2 + 8^2 + 10^2)`

= `sqrt(200)`

= `10sqrt(2)`

= 14.14 m, which is greater than 12 m.

(ii) True: The perimeter of a semicircle

= Curved part (πr) + Diameter (2r)

= (π + 2)r