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.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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.
Transcribed Image Text: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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