Example 15

Last updated at Dec. 8, 2016 by Teachoo

Example 15 - The height and slant height of a cone are 21 cm - Examples

Transcript

Example 15 The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone. Volume of the come = 1/3 𝜋𝑟2ℎ Given slant height = l = 28 cm Height of cone = h = 21 cm Let radius of cone = r cm We know that l2 = h2 + r2 282 = 212 + r2 282 – 212 = r2 r2 = 282 – 212 r2 = (28 – 21) (28 + 21) r2 = (7) (49) r = √("7(49)" ) r = √("7(7)2" ) r = 7√7cm So, Volume of the come = 1/3 𝜋𝑟2ℎ = 1/3 × 22/7 × 7 √7 × 7 √7 × 21 cm3 = 22 × 7√7 × 7 √7 cm3 = 22 × 7 × 7 ×(√7)2 cm3 = 22 × 7 × 7 × 7 cm3 = 7546 cm3

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.