Find the value of S for an infinite geometric series with r= 1/6 and a1=10

The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

$given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches$

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4 0

3 years ago

Suppose the function y = 30,000(1.06)x models the annual profit for a small business x years after 2000. Find the profit at the

goldfiish [28.3K]

From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation.
y = (30,000)(1.06)(11)
y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800.

4 0

4 years ago

7) Write as a numeral: 40,000 + 7,000 + 600 + 40 + 3

Diano4ka-milaya [45]

Answer:

47,643

Step-by-step explanation:

This question is basically asking you to add up all of these numbers together and present the end result.

1) 40,000 + 7,000 = 47,000

2) 600 + 40 + 3 = 643

3) 47,000 + 643 = 47,643.

5 0