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An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

2 Answers

3 votes
(a/1) 2400 pi cubed is correct
User George Brotherston
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4 votes

Answer:
2400\pi\ units^3\text{ or }7536\ units^3

Explanation:

Given: The slant height of oblique cylinder (l)=26 units

The radius of oblique cylinder (r)=10 units

Let h be the height of the cylinder, then we have


h=√(l^2-r^2) \\\\\Rightarrow h=√((26)^2-(10)^2)  \\\\\Rightarrow h=√(676-100) \\\\\Rightarrow h=√(576) \\\\\Rightarrow h=24\ units

Now, the volume of oblique cylinder is given by :-


V=\pi r^2h\\\\\Rightarrow V=\pi(10)^2(24)\\\\\Rightarrow V=2400\pi\ units^3

If we substitute
\pi=3.14, then we get

Volume of oblique cylinder=
2400*3.14=7536\ units^3

User Mukund Samant
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5.7k points