Answer:
190.9 in³
Step-by-step explanation:
Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container
We all know that the volume of a sphere is 4/3 × 22/7 × r³
And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2
If the formula that was given initially was divided by 2,the new formula will look like this:
4/6 × 22/7 × r³
And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2
That is 9/2 = 4.5
Putting the values in the formula,we can now derive the volume of that sphere
4/6 × 22/7 × 4.5³
= 190.9 in³ of soil
Answer:
190.87 cubic inches
Step-by-step explanation:
A sphere is three-dimensional a ball-shaped object. It's volume is calculated using the formula:
V = 4/3πr^3
Where V= Volume of sphere
π (pie) = 22/7 (constant)
r = diameter ÷ 2 i.e. 9/2 = 4.5inches
Hence, to calculate the volume of the sphere, we slot in the values into the formula;
V = 4/3 × 22/7 × 4.5^3
V = 1.333.....× 3.142 × 4.5 × 4.5 × 4.5
V = 381.753
Thus, the volume of the sphere is 381.753 cubic inches.
However, according to the question, the container is a hemisphere i.e. half of a sphere. Therefore, to get the volume of soil in the container, we divide the volume of the sphere by 2;
381.753 ÷ 2
= 190.87
Hence, the volume of the soil in the hemispherical container is 190.87 cubic inches (in^3)
