2. A cube of side length of 4 in is inscribed in a sphere as shown below. Find the surface area and volume of the sphere. Hint: When a cube is inscribed in a sphere, the longest diagonal of the cube is a diameter of the sphere. nor 3. Solve for the radius of a sphere whose volume is three times its surface area. 4. A polyhedron has six rectangular faces and four isosceles triangular faces, as shown below. Use a net of the polyhedron to find its total surface area. 10 in 4 in 2 in 8 in 12 in

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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How to solve 2 and 4?
1. If the radius of a sphere is increased by half of its original radius, by how many percent is the
volume increased?
2. A cube of side length of 4 in
volume of the sphere. Hint: When a cube is inscribed in a sphere, the longest diagonal of the cube
is a diameter of the sphere.
inscribed in a sphere as shown below. Find the surface area and
3. Solve for the radius of a sphere whose volume is three times its surface area.
4. A polyhedron has six rectangular faces and four isosceles triangular faces, as shown below. Use a
net of the polyhedron to find its total surface area.
10 in
4 in
2 in
8 in
12 in
Transcribed Image Text:1. If the radius of a sphere is increased by half of its original radius, by how many percent is the volume increased? 2. A cube of side length of 4 in volume of the sphere. Hint: When a cube is inscribed in a sphere, the longest diagonal of the cube is a diameter of the sphere. inscribed in a sphere as shown below. Find the surface area and 3. Solve for the radius of a sphere whose volume is three times its surface area. 4. A polyhedron has six rectangular faces and four isosceles triangular faces, as shown below. Use a net of the polyhedron to find its total surface area. 10 in 4 in 2 in 8 in 12 in
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