Question

The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is ______.

Options

• 10 cm

• 12 cm

• 15 cm

• 16 cm

Answer 1

The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is 12 cm.

Explanation:

l² = h² + (R - r)²

⇒ 13² = h² + (9 – 4)²

⇒ 169 = h² + 25

⇒ h² = 169 – 25

⇒ h² = 144

⇒ h = 12