212k views
0 votes
An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder

2 Answers

7 votes

Final answer:

The volume of the oblique cylinder is approximately 8190.88 cubic units.

Step-by-step explanation:

To find the volume of an oblique cylinder, we use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the radius is given as 10 units and the slant length (which is the height) is given as 26 units.

Substituting the values into the formula, we have V = 3.142 × (10 units)² × 26 units = 8190.88 cubic units (rounded to two decimal places).

Therefore, the volume of the oblique cylinder is approximately 8190.88 cubic units.

User Jerome Anthony
by
8.5k points
5 votes

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


√(576) = height

24 units = height


\pi =3.14

put in the above formula


Volume\ of\ oblique\ cylinder = 3.14* 10* 10* 24

= 7536 units ²

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

User Neal Burns
by
7.9k points