The volume of the given cylinder as shown in the diagram is 150π cube units or 471 cube units.
What is the volume of a solid?
The volume of a solid is the total space it contains in the three-dimensional space.
What is the volume of a cylinder?
The volume of a cylinder can be given by the formula,
V = πr²h cube units,
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
How to solve the given question?
In the question, we are asked to find the volume of the cylinder shown in the figure.
The cylinder has a base radius (r) of 5 units, and height (h) of 6 units.
So, we can find its volume using the formula,
V = πr²h cube units,
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
∴ The volume of the cylinder = π(5²)6 cube units
or, the volume of the cylinder = π*25*6 cube units
or, the volume of the cylinder = 150π cube units
or, the volume of the cylinder = 150*3.14 cube units = 471 cube units.
∴ The volume of the given cylinder as shown in the diagram is 150π cube units or 471 cube units.
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