a cone of slant height 25cm has a curved surface area of 550 cm2. find the height of the cone and its volume
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l = 25cm
CSA = 550 cm²
⇒ πrl = 550
⇒ r = (550×7)/(25×22)
⇒ r = 7cm
height, h = √(l² - r²) = √25² - 7² = √625 - 49 = √576 = 24cm
volume, V = \frac{1}{3} πr²h = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 24=1232\ cm^2
CSA = 550 cm²
⇒ πrl = 550
⇒ r = (550×7)/(25×22)
⇒ r = 7cm
height, h = √(l² - r²) = √25² - 7² = √625 - 49 = √576 = 24cm
volume, V = \frac{1}{3} πr²h = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 24=1232\ cm^2
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