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2 years ago

5

Geraldine opens a bank account with $150. After depositing five checks which were all for the same amount, her account has $308.

75. What is the amount of each check that Geraldine desposited

2 answers:

snow_lady [41]2 years ago

8 0

$31.75 is the amount of eavh check

inysia [295]2 years ago

4 0

308.75=5x+150
Solve for x
X=31.75

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We conclude that the calibration point is set too high.

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We are given the following in the question:

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Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

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Required

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Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

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Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

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$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

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$h = 2r$

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