A spherical water tank has a diameter of 10 feet. How much water does it hold when half full (use 3.14 for , and round to the nearest hundredth)?
how will i get my answer
The volume of a sphere with radius r is (4/3)(pi*r^3). Use that.
volume = (4/3)pi(r^3)
so the volume of the full tank = (4/3)pi(5^3
= 523.59878
so half of that volume is 261.79939
to the nearest hundredth, 261.80
To find the volume of a spherical water tank, you can use the formula:
Volume = (4/3) * π * r^3,
where "r" is the radius of the sphere.
Given that the diameter of the tank is 10 feet, we need to find the radius first. The radius of a sphere is half of its diameter, so:
radius = diameter / 2 = 10 ft / 2 = 5 ft.
Now we can substitute the radius value into the volume formula:
Volume = (4/3) * 3.14 * 5^3.
Calculating further:
Volume = (4/3) * 3.14 * 125.
Volume = 523.3333 cubic feet (rounded to four decimal places).
To determine how much water the tank holds when it is half full, we need to divide the volume by 2:
Water volume when half full = 523.3333 / 2.
Water volume when half full ≈ 261.67 cubic feet (rounded to two decimal places).