A cylinder has a height of 16 yards. Its base has a radius of 7 yards.
Find its volume, in cubic yards, to the nearest tenth. Use 3.14 or the
calculator value for pi.

Respuesta :

Answer:

[tex]\boxed {\boxed {\sf v= 2463.0 \ yd^3}}[/tex]

Step-by-step explanation:

The volume of a cylinder is found using the following formula:

[tex]v= \pi r^2h[/tex]

The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.

[tex]v= \pi* (7 \ yd)^2 * 16 \ yd[/tex]

Solve the exponent.

  • (7 yd)²= 7 yd* 7 yd= 49 yd²

[tex]v= \pi * 49 \ yd^2 *16 \ yd[/tex]

Multiply the three numbers together.

[tex]v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3[/tex]

Round to the nearest tenth.

  • [tex]2463.0\underline0864041[/tex]

The 0 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]v= 2463.0 \ yd^3[/tex]

The volume of the cylinder is 2463.0 cubic yards.