what is the volume of the cone with a diameter of 20 cm and a height of 15 cm
A. 314
B. 6,280
C. 1,570
or D. 2,355
what is the volume of the cone with a diameter of 20 cm and a height of 15 cm
A. 314
B. 6,280
C. 1,570
or D. 2,355
just choose one
The formula for the volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.
First, we need to find the radius. The diameter is given as 20 cm, so the radius is half of that, which is 10 cm.
Now we can plug in the values:
V = (1/3)π(10 cm)²(15 cm)
Calculating this gives:
V = (1/3)π(100 cm²)(15 cm)
V = (1/3)π(1500 cm²)
V = (1/3)(3.14159)(1500 cm²)
V ≈ 4712.37 cm³
Rounded to the nearest whole number, the volume of the cone is 4712 cm³.
None of the given options match this result.
which one is the answer?? A, B, C or D?
The volume of the cone with a diameter of 20 cm and a height of 15 cm is approximately 1,570 cm³. Therefore, the correct answer is C.
To find the volume of a cone, you can use the formula: V = (1/3)πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r represents the radius of the base, and h represents the height of the cone.
In this case, you are given the diameter of the cone, which is 20 cm. To find the radius, divide the diameter by 2: r = 20 cm / 2 = 10 cm.
The height of the cone is given as 15 cm.
Now, substitute the values for the radius (10 cm) and the height (15 cm) into the volume formula:
V = (1/3)π(10 cm)^2(15 cm)
V = (1/3)π(100 cm^2)(15 cm)
V = (1/3)π(1500 cm^3)
V = 500π cm^3
Since the choices for the volume are given as multiples of 314 (the closest approximation of π times 100), we can approximate π as 3.14. Multiplying this by 100 gives us 314. Thus, the volume is approximately equal to:
V ≈ 500(3.14) cm^3
V ≈ 1570 cm^3
Therefore, the correct answer is C. 1,570.