Like

Report

A hole of radius $r$ is bored through the center of a sphere of

radius $R > r .$ Find the volume of the remaining portion of

the sphere.

$$

V=\frac{4}{3} \pi\left(R^{2}-r^{2}\right)^{3 / 2}

$$

Applications of Integration

You must be signed in to discuss.

Missouri State University

Campbell University

Oregon State University

University of Michigan - Ann Arbor

{'transcript': "The problem is the whole of gliders are disbarred. There was a danger of a severe Riders capitalize Criticism. It's more Find us the wand. The alarms of remaining portion of the sphere. Look at the graph here. Different rotate. This reader about likes axes. Then we'LL got the remaining portion of the sphere. Now for each backs. The cross section is a washer in the riders is they'd go to smaller outer riders He's caught you, our squire. Once I squired you took this more Then the volume of the remaining portion if they caught you Hi. Hams into girl from cereal too. Here it is from zero to this point, this is haveto are square on a small school here we want to I'm from on the function is spirit If our squire minus x squared square minus small square Jax, you know we might die too, because first the re compute the volume Way to take the test heart about axis X axis, then the month plan too. This is a whole part. I want him well retained by rotating the whole part about X axis. So be it to to pie integral from zero to motive I squired by small square. I have to Ah, squire minus I square minus our Sawyer. Jax, This is equal to two high times. Ah, square minus a small square, too. Three O R. Two minus one third Ham's execute from zero to routine. A square minus. Our school of the panther is full pie or three times Ah, square one smaller square to three over too."}