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16 January, 13:31

1. a pyramid has a base area of 10in^2 and a height of 3.09 in.

what is the volume of the pyramid?

2. A cylinder has a diameter of 14ft. and a height of 10 ft. what is the volume of the cylinder

3. Which of the following is the best approximation of the volume of a sphere with a 7 cm. radius.

A. 1744 cm^3

B. 1436 cm^3

C. 615 cm^3

D. 462 cm^3

4. the volume of a sphere is 4/3 pie cm^3. What is the diameter of the sphere?

5. The volumes of two similar solids are 20 cm^3 and 540^3. Which is the ratio of the corresponding sides of the larger figure to the smaller figure.

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Answers (1)
  1. 16 January, 14:23
    0
    1.

    V=1/3*b*h=1/3*10*3.09=1.03*10=10.3 in³

    2.

    V=b*h

    b=πr²

    r=d/2=14/2=7ft

    V=πr²*h

    V=π*7²*10=490π ft³

    If it should be approximate V≈1539.38 ft³

    3.

    V = (4/3) πr³ = (4/3) * π*7³≈1436 cm³

    4.

    V = (4/3) πr³

    r³=3V/4π

    r=∛ (3V/4π)

    5.

    s1/s2 = ∛ (V1/V2)

    s1/s2 = ∛ (540/20) = ∛27=3/1

    s1/s2 = 3/1
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