Question

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

1. The circumference of the base of a cylindrical vessel is 132 cm. Its diameter will be 21 cm.
2. Total surface area of a hemisphere = 3πr².

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (ii)

Explanation:

Statement (i) is invalid because a circumference of 132cm gives a diameter of `(132 × 7)/(22) = 42` cm, not 21 cm. Statement (ii) is valid because the total surface area of a solid hemisphere is correctly given by the standard formula 3πr^2.