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3 years ago

Interest is a fee paid for the use of money over time. True False

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

6 0

Answer: True

Interest is a fee paid for the use of money over time.

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The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure

Novosadov [1.4K]

Hello!

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure?

Use 3.14 to approximate π .

Enter your answer in the box. in.³

Data: (Cylinder)

h (height) = 7 in

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cylinder volume)

$V = \pi *r^2*h$

$V = 3.14 *2.5^2*7$

$V = 3.14*6.25*7$

$V = 137.375 \to \boxed{V_{cylinder} \approx 137.38\:in^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{2.5^3}{3}$

$V = 2*3.14 * \dfrac{15.625}{3}$

$V = \dfrac{98.125}{3}$

$\boxed{ V_{hemisphere} \approx 32.70\:in^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 137.38 in³ + 32.70 in³

$Volume\:of\:the\:figure =170.08 \to \boxed{\boxed{\boxed{Volume\:of\:the\:figure = 170\:in^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

5 0

3 years ago

Read 2 more answers

Find the fourth root of 81 that<br> graphs on the positive y-axis.

klio [65]

Answer:

1.732

Step-by-step explanation:

cube root of 81 is

=1.732

3 0

3 years ago

Which method will not work?

katen-ka-za [31]

D because if you multiply y 8 times it will no longer be doubling the area

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3 years ago

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume o

Kryger [21]

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4 0

3 years ago

Solve for x in the diagram below. Numerical answer only, no units

DiKsa [7]

Answer:

Step-by-step explanation:

Since it is on a right angle we can equation the sum of both angles to 90:
6x-2+20 = 90

Now we simplify:

6x+18=90

Now we subtract 18 from both sides:

6x+18-18=90-18

Simplify:

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Now we divide both sides by 6:

6x÷6=72÷6

Simplify:

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8 0

2 years ago