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 thevolume increased?2. A cube of side length of 4 involume of the sphere. Hint: When a cube is inscribed in a sphere, the longest diagonal of the cubeis a diameter of the sphere.inscribed in a sphere as shown below. Find the surface area and3. 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 anet of the polyhedron to find its total surface area.10 in4 in2 in8 in12 in

This question is based on mensuration.

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

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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...

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Question

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

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