if the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8800 cm3.
Given that
The height (h) and slant height (l) of a cone are 21 cm and 29 cm, respectively.
Slant height (l) = √(h2+ r2)
The volume of a cone is ⅓ 𝜋r2h cubic units
where r is the radius of a cone
⇒ 29 = √(212+ r2)
⇒ r2 = 292 - 212 = 841 - 441 = 400
⇒ r = 20 cm
Hence, Volume of a cone = ⅓ × (22/7) × 202 × 21 = 8800 cm3