How do you find the volume inside the cylinder but outside the sphere? H=12cm.
Bro wtf, ur trash.
I assume the cylinder is outside the sphere
In that case subtract
pi r^2 h - (4/3)pi r^3
if the sphere fits exactly in the cylinder then
D = h = 2 r
and we have
2 pi r^3 - (4/3) pi r^3
= (2/3) pi r^3
To find the volume inside the cylinder but outside the sphere, we need to calculate the volumes of both the cylinder and the sphere, and then subtract the volume of the sphere from the volume of the cylinder. Here's how you can do it step-by-step:
1. Find the volume of the cylinder:
The volume of a cylinder is given by the formula V_cylinder = πr^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the height of the cylinder (h) is 12 cm, we need to find the radius (r) of the cylinder.
2. Find the radius of the cylinder:
Since the given information does not provide the radius of the cylinder, we cannot proceed further without this information.
To find the volume inside the cylinder but outside the sphere, we need to subtract the volume of the sphere from the volume of the cylinder. Here's how you can calculate it:
1. Start by finding the volume of the cylinder. The volume of a cylinder is given by the formula V_cylinder = πr^2h, where r is the radius of the base and h is the height. In this case, we are given the height of the cylinder (h = 12 cm). So, you need to find or are given the radius (r) of the cylinder's base. Once you have the radius, you can use the formula to calculate the volume.
2. Next, calculate the volume of the sphere. The volume of a sphere is given by the formula V_sphere = (4/3)πr^3, where r is the radius of the sphere. In this case, the sphere is inscribed inside the cylinder, so the radius of the cylinder's base and the sphere will be the same.
3. Subtract the volume of the sphere from the volume of the cylinder to find the volume inside the cylinder but outside the sphere. V_inside_cylinder = V_cylinder - V_sphere.
Remember to substitute the correct values for the radius and height in the formulas to get the accurate volume.