can someone help me please on this question:
What is the diameter of a cone with height 8 m and volume 150 m3 ?
b.130 2/3ft^3
b.226in^3
b.33cm^3
a.4m
d.15m
1 b 2 b 3 b 4 a 5 d
The answer is 15m
correcto is right
gag and correcto are both correct
gag and correcto are correct.
Thx 💯
To find the diameter of a cone, we need to use the formula for the volume of a cone. The formula for the volume of a cone is given as:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base of the cone, and h is the height of the cone.
Given that the height of the cone is 8 meters and the volume is 150 cubic meters, we can rearrange the formula to solve for the radius:
V = (1/3) * π * r^2 * h
150 = (1/3) * π * r^2 * 8
To isolate r^2, we can divide both sides of the equation by (1/3) * π * 8:
r^2 = (150 / ((1/3) * π * 8))
Simplifying further:
r^2 = (150 / (4/3 * π))
r^2 = (150 * 3 / (4 * π))
r^2 ≈ 35.98
Now, to find the diameter (d) of the cone, we just need to multiply the radius (r) by 2:
d = 2 * r
d ≈ 2 * √(35.98)
Using a calculator, we can evaluate:
d ≈ 2 * 5.995
Therefore, the approximate diameter of the cone is 11.99 meters.
V = pi*r^2*h
V = 150 m^3
h = 8 m
150 = pi*r^2*8
Solve for r (the radius) then multiply by 2 to obtain the diameter.
Only, this is a cone, not a cylinder.
V = 1/3 pi r^2 h