Answer:
k = 48
Explanation:
First find the volume of the cone using the given formula volume=1/3πr²h
the height of it is 10 cm and the radius is 3 cm because the diameter is 6.
So V=1/3π(3²)(10)
= 1.04719(9)(10)
= 94.2471
= 94.25
The volume of the cone is 94.25 cm
Now find the volume of the sphere using the given formula volume=4/3πr³
The radius is 3
So V=4/3π(3³)
= 4.18879(27)
= 113.09
= 113.1
The volume of the sphere would be 113.1 cm but we only have half a sphere so divide by 2.
113.1 / 2 = 56.55
The volume of the half sphere is 56.55 cm
Now we add the volume of both shapes to find the total.
94.25 + 56.55 = 150.8
The total volume is 150.8
The total volume of the shape is kπ cm³, where k is an integer.
They want us to find the value of k.
We already know the total area but they want us to leave it in terms of PI so we will divide.
150.8 / π = 48.0011308365
So k equals 48