The surface to volume ratio for a sphere.

Question

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Answer 1

Question

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

(b)

To determine

The surface to volume ratio for a cube.

(c)

To determine

The surface to volume ratio for a parallelepiped.

(d)

To determine

The shape with minimum leakage.

(e)

To determine

The shape with maximum leakage.

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To minimize neutron leakage from a reactor, the ratio of the surface area to the volume should be a minimum. For a given volume V, calculate this ratio for (a) a sphere, (b) a cube, and (c) a parallelepiped of dimensions a x a x 2a. (d) Which of these shapes would have minimum leakage? Which would have maximum leakage? Explain your answers.

Answer 2

Question

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

(b)

To determine

The surface to volume ratio for a cube.

(c)

To determine

The surface to volume ratio for a parallelepiped.

(d)

To determine

The shape with minimum leakage.

(e)

To determine

The shape with maximum leakage.

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Answer 3

Question

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

(b)

To determine

The surface to volume ratio for a cube.

(c)

To determine

The surface to volume ratio for a parallelepiped.

(d)

To determine

The shape with minimum leakage.

(e)

To determine

The shape with maximum leakage.

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Answer 4

Question

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

(b)

To determine

The surface to volume ratio for a cube.

(c)

To determine

The surface to volume ratio for a parallelepiped.

(d)

To determine

The shape with minimum leakage.

(e)

To determine

The shape with maximum leakage.

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Answer 5

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

(b)

To determine

The surface to volume ratio for a cube.

(c)

To determine

The surface to volume ratio for a parallelepiped.

(d)

To determine

The shape with minimum leakage.

(e)

To determine

The shape with maximum leakage.

Answer 6

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

Answer 7

Chapter 14, Problem 23P

(a)

To determine

The surface to volume ratio for a sphere.

Answer 8

(b)

To determine

The surface to volume ratio for a cube.

Answer 9

(b)

To determine

The surface to volume ratio for a cube.

Answer 10

(c)

To determine

The surface to volume ratio for a parallelepiped.

Answer 11

(c)

To determine

The surface to volume ratio for a parallelepiped.

Answer 12

(d)

To determine

The shape with minimum leakage.

Answer 13

(d)

To determine

The shape with minimum leakage.

Answer 14

(e)

To determine

The shape with maximum leakage.

Answer 15

(e)

To determine

The shape with maximum leakage.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 14 - Prob. 1Q Ch. 14 - Prob. 2Q Ch. 14 - Prob. 3Q Ch. 14 - Prob. 4Q Ch. 14 - Prob. 5Q Ch. 14 - Prob. 7Q Ch. 14 - Prob. 8Q Ch. 14 - Prob. 9Q Ch. 14 - Prob. 10Q Ch. 14 - Prob. 11Q

The surface to volume ratio for a sphere.

Solution Summary: The author divides the equation by (II) and rewrites using (III).

Concept explainers

The surface to volume ratio for a sphere.

The surface to volume ratio for a cube.

The surface to volume ratio for a parallelepiped.

The shape with minimum leakage.

The shape with maximum leakage.

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Chapter 14 Solutions