What is the volume of the cone to the nearest whole unit?
Height of 5. Radius of 3.
A. 21m^3
B. 84m^3
C. 168m^3
D. 335m^#
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the given values:
V = (1/3)π(3^2)(5)
V = (1/3)π(9)(5)
V = (1/3)π(45)
V ≈ 47.12
Rounding to the nearest whole unit, the volume of the cone is 47m^3.
Therefore, none of the given options (A, B, C, or D) are correct.
If you had to choose which would it be.
If I had to choose from the given options, I would pick option A.
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
where π is a mathematical constant approximately equal to 3.14, r is the radius of the cone, and h is the height of the cone.
In this case, the height is given as 5 and the radius is given as 3. We can substitute these values into the formula:
Volume = (1/3) * π * (3^2) * 5
Simplifying further:
Volume = (1/3) * π * 9 * 5
Volume = (1/3) * 45 * π
Volume ≈ 47.12
To the nearest whole unit, the volume of the cone is approximately 47 m^3.
None of the given answer choices match the calculated volume.