To prove: The solid has volume V = 1 6 h ( B 1 + B 2 + 4 M ) where B 1 and B 2 are the area of the bases and M is the area of the middle horizontal cross section at z = 0.

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Answer 1

Question

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

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Answer 2

Question

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Expert Solution & Answer

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Answer 3

Question

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Answer 6

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

Answer 7

Chapter 6, Problem 96SP

a.

To determine

To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

Answer 8

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Answer 9

b.

To determine

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 6.1 - Prob. 1PS Ch. 6.1 - Prob. 2PS Ch. 6.1 - Prob. 3PS Ch. 6.1 - Prob. 4PS Ch. 6.1 - Prob. 5PS Ch. 6.1 - Prob. 6PS Ch. 6.1 - Prob. 7PS Ch. 6.1 - Prob. 8PS Ch. 6.1 - Prob. 9PS Ch. 6.1 - Prob. 10PS

To prove: The solid has volume V = 1 6 h ( B 1 + B 2 + 4 M ) where B 1 and B 2 are the area of the bases and M is the area of the middle horizontal cross section at z = 0.

Solution Summary: The author explains that a solid with cross-sectional area is perpendicular to the x-axis at each point on the interval left[a,bright].

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To prove:The solid has volume V=16h(B1+B2+4M) where B1 and B2 are the area of the bases and M is the area of the middle horizontal cross section at z=0.

To prove:The formulas for the volume of the cone and a sphere can be obtained from the formula V=16h(B1+B2+4M) for certain special choices a0,a1,a2 and a3 .

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Chapter 6 Solutions