Consider the sphere with radius ? = 4. Suppose that a plane passes through the sphere at a height ? = 2 unitsabove the center of the sphere, as shown in the figure below.Find the area of the cross section of the sphere, the area of the cross section of the cylinder that lies outside of the cone. the volume of the cylinder, the cone, and the hemisphere shown in the figure, the volume of the sphere shown in the figure.please give me complete solutions Activity:Consider the sphere with radius = . Suppose that a plane passes through thesphere at a height = units above the center of the sphere, as shown in the figurebelow.ya. Find the area of the cross section of the sphere.b. Find the area of the cross section of the cylinder that lies outside of the cone.c. Find the volume of the cylinder, the cone, and the hemisphere shown in thefigure.d. Find the volume of the sphere shown in the figure.

a) To find the area we have to find the radius PQ of the circle by using Pythagoras theorem-…

Answered: Consider the sphere with radius ? = 4.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.2: Properties Of Division

Problem 53E

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Consider the sphere with radius ? = 4. Suppose that a plane passes through the sphere at a height ? = 2 units
above the center of the sphere, as shown in the figure below.
Find the area of the cross section of the sphere, the area of the cross section of the cylinder that lies outside of the cone. the volume of the cylinder, the cone, and the hemisphere shown in the figure, the volume of the sphere shown in the figure.

please give me complete solutions

Activity:
Consider the sphere with radius = . Suppose that a plane passes through the
sphere at a height = units above the center of the sphere, as shown in the figure
below.
y
a. Find the area of the cross section of the sphere.
b. Find the area of the cross section of the cylinder that lies outside of the cone.
c. Find the volume of the cylinder, the cone, and the hemisphere shown in the
figure.
d. Find the volume of the sphere shown in the figure.

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