Question

an oblique cylinder has a radius of 10 units and slant length of 26 units. what is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units

Explanation:

Step1: Find the height of the oblique cylinder

We can use the Pythagorean theorem to find the height \( h \) of the oblique cylinder. The slant length is 26 units, and the radius is 10 units. Let the height be \( h \). Then, by the Pythagorean theorem, \( h=\sqrt{26^{2}- 10^{2}}=\sqrt{676 - 100}=\sqrt{576} = 24 \) units.

Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder (both right and oblique) is \( V=\pi r^{2}h \), where \( r = 10 \) units and \( h=24 \) units. Substituting the values, we get \( V=\pi\times10^{2}\times24=\pi\times100\times24 = 2400\pi \) cubic units.

Answer:

2,400π cubic units