Can someone help this problem please? I need a good answer
The bottle of sanitizer that has volume of 150 cm3 and the height of the container is should be two times of the radius of the base?
The bottle of sanitizer that has volume of 150 cm3 and the height of the container is should be two times of the radius of the base?
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To solve this problem, you will need to know the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
First, we need to find the radius of the base. Since the height of the container is twice the radius of the base, we can set up the equation 2r = h, where r is the radius and h is the height. Since we know that the volume of the container is 150 cm3, we can substitute the values into the formula for the volume of a cylinder to get V = πr^2h = 150.
Solving for r, we get r = √(150 / (πh)). Since the height of the container is twice the radius of the base, we can substitute 2r for h in the equation to get r = √(150 / (π(2r))). Solving for r, we get r = 5 cm.
Therefore, the radius of the base of the container is 5 cm and the height of the container is 10 cm.