Question

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

Answer 1

Answer

Find out the  what is the volume of the cylinder .

To prove

Formula

$Volume\ of\ oblique\ cylinder = \pi r^{2} h$

where r is the radius and h is the height of the cylinder.

As given

An oblique cylinder has a radius of 10 units and slant length of 26 units.

slant height²  = radius² + height²

put the value in the formula

26² - 10² = height ²

676 - 100 = height²

576 = height²

$\sqrt{576} = height$

24 units = height

$\pi =3.14$

put in the above formula

$Volume\ of\ oblique\ cylinder = 3.14\times 10\times 10\times 24$

                                                       = 7536 units ²

Therefore the volume of the oblique cylinder is 7536 units ².

Answer 2

The formula of the volume of an oblique cylinder is V = $\pi$r²h where $\pi$ is 3.14, r is the radius of the circular base of the cylinder and h is the height of the cylinder. You are given a slant length and radius of 26 and 10 units. You can get the height by using pythagorean theorem c²=a²+b².

c²=a²+b²
26² = 10² + b²
b = 24

V = $\pi$r²h
V = $\pi$(10)²(24)
V = 7,540 units³