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sergeinik [125]
3 years ago
13

A plastic circular cone with a volume of x cubic centimeters is sliced horizontally into two shapes. If the height and radius of

the smaller cone is half the height and radius of the original cone, which expression represents the volume of the other piece in cubic centimeters?
Mathematics
1 answer:
kirill [66]3 years ago
5 0
For the original cone:
V = pi*h*r^2 = x
The upper half of the cone has half the height and half the radius of the original cone of volume x, so its volume is calculated as:
V = pi*(h/2)*(r/2)^2 = (1/8)*pi*h*r^2 = x/8

Therefore the volume of the other piece (the frustum) is x - (x/8) = 7x/8 cubic centimeters.
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2 years ago
A colony of bacteria triples in link every 10 minutes. It's length is now 1 mm. How long will be in 40 minutes
Nuetrik [128]
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\bf \textit{Periodic Exponential Growth}\\\\
A=I(1 + r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1\\
r=rate\to 2\%\to \frac{200}{100}\to &2.00\\
t=\textit{elapsed time}\to &40\\
p=period\to &10
\end{cases}
\\\\\\
A=1(1 + 2)^{\frac{40}{10}}
6 0
3 years ago
Please help! I will mark as brainliest IF answer is right. <3
Ksju [112]

Answer:

y =  -  \frac{11}{2} x + 30 \frac{1}{2}

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if accepted:

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or

2y = 61 - 11x

8 0
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