Here is the full question
A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
What is the total volume
Answer:
V = 144.92 (sq. cm)³
Step-by-step explanation:
The shape of a can in usually in cylindrical form;
So, The volume of a cylinder is given as = [tex]\pi r^2h[/tex]
Given that:
area = 156 square centimeters.
height = 20 centimeters.
Let's find the radius of the circular base
Area of a cylinder = [tex]2 \pi rh + 2 \pi r^2[/tex]
[tex]156 = 2 \pi r120 + 2 \pi r^2[/tex]
[tex]r+2 \pi r^2 = \frac{2 \pi 120}{156}[/tex]
[tex]r+2 \pi r^2 =4.83[/tex]
[tex]r+r^2 = \frac{4.83}{2\pi}[/tex]
[tex]r+r^2 = 0.769[/tex]
[tex]2r^2 = 0.769[/tex]
[tex]r^2 = \frac{0.769}{2}[/tex]
[tex]r^2 = 0.3845[/tex]
[tex]r =\sqrt{0.3845[/tex]
[tex]r = 0.62[/tex]
Now, the Volume of the cylinder = [tex]\pi r^2h[/tex]
V = [tex]\pi (0.62)^2(120)[/tex]
V = 144.92 (sq. cm)³
The full question is this:
A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
Find the volume.
Answer:
3115.3cm3
Step-by-step explanation:
The can of orange juice here takes the shape of a cylinder and the circular base has an area of 156 square meters.
To calculate the volume of a cone, we need to know the formula which is pie×r2×h
And we were given the height of the can =20cm,but we don't have the height.
From the area of the circular base provided(156), the radius of the base can be collected.
Area of a circle= pie× r2
156= 22/7 ×r2
r2=156×7/22=49.636
r=√49.636
r=7.04
Now to find the volume of the cylinder.
22/7×7.04×7.04×20=3115.3cm3
