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Pavlova-9 [17]
3 years ago
5

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 8 marbles, each of diameter 3 inches. The va

se is filled with water up to a height of 10 inches. Which of the following could be used to calculate the volume of water in the vase? (6 points) π(10in)2(3in) − 1.5( four over three π(8in)3) π(3in)2(10in) − 1.5( four over three π(8in)3) π(10in)2(3in) − 8( four over three π(1.5in)3) π(3in)2(10in) − 8( four over three π(1.5in)3) I got the answer as the fourth one however im unsure if I am correct.
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

  π(3 in)²(10 in) -8(4/3)(1.5 in)³

Step-by-step explanation:

The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...

  V = πr²h = π(3 in)²(10 in)

The volume of 8 spheres with a radius of 1.5 inches is ...

  V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³

The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...

  V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice

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7 0
3 years ago
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Step-by-step explanation:

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2 years ago
Read 2 more answers
Expression A Expression B Expression C (−5)(−0.4)(1.8) (-45)(-19)(-112) −1(5+17) Expression D Expression E Expression F (−5)(−0.
kramer

Answer:

Expressions A, E, and F

Step-by-step explanation:

In general, when negative integers are multiplied; if the negative integers are even, then the product would be positive. But if the negative integers are odd, then the product would be negative.

Thus,

A. (−5)(−0.4)(1.8) = (2.0)(1.8)

                           = 3.6

B. (-45)(-19)(-112) = (855)(-112)

                           = -95760

C. −1(5+17) = -1(22)

                 = -22

D. (−5)(−0.4)(1.8)(−3.25) = (2.0)(-5.85)

                                      = -11.7

E. (-49)(-34)(-12)(-12) = (1666)(144)

                                = 239904

F. −1(3.5−7) = -1(-3.5)

                  = 3.5

Thus expressions A, E and F have positive products.

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3 years ago
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