Calculate the height of cone whose slant height is 25 cm and curved surface area is 550 cm square..
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37
Answer:
24 cm
Step-by-step explanation:
Given, Slant height (l) = 25 cm.
We know that curved surface area = πrl
⇒ πrl = 550
⇒ (22/7) * r * 25 = 550
⇒ 550 * r = 550 * 7
⇒ r = 7 cm.
Now,
Height of the cone = √l² - r²
= √25² - 7²
⇒ √625 - 49
⇒ √576
⇒ 24 cm.
Therefore,height of the cone = 24 cm.
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