A storage tank has the shape of a cylinder with dimensions below. its 40 ft and 40 ft
which is closest to the volume of the tank?
A 1,600 cu ft
b 2,500 cu ft
c 16,000 cu ft
d 50,000 cu ft
I think its a pls help me
Ir's not a.
V=πr^2h
V = 3.14 * 20^2 * 40
V = ?
so is it d
Yes, d.
thanks so much
You're welcome.
To find the volume of a cylinder, you need to know the formula: V = πr^2h.
First, we have to determine the radius (r) and height (h) of the cylinder given the given dimensions of 40 ft and 40 ft.
Since the shape of the tank is a cylinder, we can deduce that the diameter is equal to the width, which is 40 ft. The radius (r) is half the diameter, so r = 40 ft / 2 = 20 ft.
The height (h) of the cylinder is also given as 40 ft.
Now, substitute the values of r = 20 ft and h = 40 ft into the volume formula: V = π(20 ft)^2(40 ft).
Calculating this expression, we have V = π(400 ft^2)(40 ft).
Simplifying further, we have V = 16000π ft^3.
Now, let's figure out which option is closest to the volume we obtained:
a) 1,600 cu ft - This option is much smaller than the volume of the tank and can be ruled out.
b) 2,500 cu ft - This option is again smaller and can be ruled out.
c) 16,000 cu ft - This option is an exact match to the volume we calculated. This seems to be the correct answer.
d) 50,000 cu ft - This option is larger than the volume we calculated and can be ruled out.
Therefore, the closest volume to the tank is option c) 16,000 cu ft.