Find the Volume of a hemisphere with a diameter of 17 cm. Use pi = 3.14 and round to the nearest hundredth. can some one show me what i'mdoing wrong?
this is what i got:
4/3*3.15*17^3
you forgot to split the diameter in half to get the radius.
You used the diameter in the formula.
Also 4/3(pi)r^3 is the volume of the sphere. For the hemisphere you will need to half the volume.
so
4/6*3.14*8.5^3
4/3*3.14*(8.5)^3
equals 2571.14
To find the volume of a hemisphere, you need to use the formula V = (2/3)πr^3, where r is the radius.
First, we need to find the radius. The diameter is given as 17 cm, so to find the radius, we divide the diameter by 2:
17 cm / 2 = 8.5 cm
Now we can substitute the radius into the formula:
V = (2/3) * 3.14 * (8.5 cm)^3
Calculating the volume:
V = (2/3) * 3.14 * 614.125 cm^3
V ≈ 2578.66 cm^3 (rounded to the nearest hundredth)
Therefore, the volume of the hemisphere is approximately 2578.66 cm^3.
To find the volume of a hemisphere, you need to use the formula:
Volume = (2/3) * π * r^3
First, you mentioned that the diameter is 17 cm, so you should divide it by 2 to get the radius. The radius is half the diameter, so the radius would be 17 cm / 2 = 8.5 cm.
Now, substitute the radius into the formula:
Volume = (2/3) * 3.14 * 8.5^3
Calculate the volume:
Volume = (2/3) * 3.14 * 614.125
Simplify the expression:
Volume = 1711.018
Lastly, round the volume to the nearest hundredth:
Volume ≈ 1711.02
Therefore, the volume of the hemisphere with a diameter of 17 cm is approximately 1711.02 cubic centimeters.