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Paha777 [63]
2 years ago
14

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of ‘pi’.)
Mathematics
1 answer:
Molodets [167]2 years ago
6 0

Answer:

653.45 cm3

Step-by-step explanation:

First calculate the volumes of both cylinders, the formula is pi x radius^2 x height.

so, big cylinder = 1256...cm3. small cylinder = 603...cm3

Then take away the large from small.

1256...-603...

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Answer:

27.77%

Step-by-step explanation:

The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.

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3 years ago
Can you help me please?
Artist 52 [7]

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3 0
3 years ago
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Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 46 to 89.8
Degger [83]

Answer:

78%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

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3 0
3 years ago
$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent
photoshop1234 [79]

\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}

A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68

So the amount after 21 years is: $66328.68

7 0
3 years ago
5/3 - 1/6 and i need it now because im in school now
Vlad [161]

Answer:

9/6 or 1 1/2

Step-by-step explanation:

Make the denominators the same...

<u>5</u> x2     ----> 10/6 -------> 10/6 -1/6 = 9/6

3 x2

5 0
2 years ago
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