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The volume of a cylinder is 2512 cu cm and its height is 12.5 cm. Find the radius of its base and curved surface area.
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Step-by-step explanation:
Radius of the base (r) = 10cm
Slant height (l) = 26 cm
Explanation:
Given:
The radius and the height of a right circular cone are in the ratio 5 : 12 and volume is 2512 cm³ and π = 3.14
To find:
i) Radius of the base (r)
ii) slant height(l)
Explanation:
i)Ratio of radius and height
= r : h = 5:12
Let r = 5x and h = 12x
We know that,
Volume of a cone = 2512 cm³
Therefore,
$x = 2$
Now ,
Radius (r) =5x = 5×2 = 10cm
Height (h) = 12x =12×2 = 24cm
ii) we know that,
=> l = √(10)²+(24)²
=> l = √100+576
=> l = √676
=> l = √(26)²
=> l = 26 cm
Therefore,
Radius of the base (r) = 10cm
Slant height (l) = 26 cm
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