Answer: V = 1,178.1751 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a hemisphere (V) = (2/3)π r3
Where r is the radius of the hemisphere. We have the width of the hemisphere that is equal to its diameter.
Since: diameter /2 = radius
In our case: r=16.51/2=8.255
So, replacing with the values given:
V = (2/3) π (8.255)∧3
V = (2/3) π (562.53718114)
V = 1,178.1751 cm3
Answer: The volume of the hemisphere - shaped coffee is 1,177.58cm^3
Step-by-step explanation:
From the question, we were informed that the coffee which the volume is required, took the shape of a coffee cup which has a hemispherical shape. So, in order to calculate the volume of the coffee, all we simply need to do is to calculate the volume of the coffee cup which the coffee takes its shape.
The volume of a sphere is = 4/3×π×r^3
Since the shape in this question is a hemisphere (which simply means half of a sphere), we will divide the calculated volume of a sphere by 2 in order to have the accurate volume of a hemisphere (half-square).
Also, recall that the cup has a width of 16.51 cm. Width in this case means diameter. Since the volume of sphere/hemisphere requires radius will divide the width by 2 in order to obtain the radius
= 16.51/2
= 8.255cm.
Let us take π as 3.14
We will now plug these into the formula:
= 4/3 × 3.14 × 8.255^3
= 7065.47/3
= 2,355.16cm^3. This would have been the volume of the coffee if the container it was in was a perfect square; but since it's in a hemispherical cup, we will simply divide this result by 2
= 2,355.16/2
= 1,177.58cm^3
Therefore the volume of the hemisphere - shaped coffee is 1,177.58cm^3
