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zaharov [31]
3 years ago
12

Consider a solid spherical ball made of wood. Suppose a hole is bored (drilled) vertically through the center of the ball and th

e resulting solid has a height of 8 inches. What is the volume of the resulting solid?
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

The volume of solid is 268.08 inches cube.

Step-by-step explanation:

The solid spherical ball has height 8 inches that means the diameter of the sphere is 8 inches. So, the radius will be the half of diameter. Thus, radius is 4 inches.

Now use below formula to find the volume of solid sphere.

Volume = \frac{4}{3}\pi r^{2} \\Volume = \frac{4}{3}\pi (4)^{2} \\Volume = 268.08 \ in^{3}

Therefore, the volume of solid is 268.08 inches cube.

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
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A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

7 0
2 years ago
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lara31 [8.8K]

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Work out m and c for the line: y = 8 x
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Answer:

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Step-by-step explanation:

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