All categories

3 years ago

Identify the volume of the composite figure. Round to the nearest tenth.

Mathematics

2 answers:

dalvyx [7]3 years ago

5 0

Answer:

I think It's A

Step-by-step explanation:

Anna007 [38]3 years ago

3 0

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

$A=l^3$ where l is the side length

Plug in 9 ft as l

$A=9^3\\A=729$

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

$A=\pi r^2h$ where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

$A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5$

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

You might be interested in

The graph shows the solution to which system of equations?

vichka [17]

Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1

✔ YES THEY ARE CONFIRMED

6 0

3 years ago

Read 2 more answers

How can I simplify/rewrite the 1st(top) equation into the 2nd(Botton),please show a step by step solution.

Vaselesa [24]

Answer:

see below

Step-by-step explanation:

$-2(4 - \frac{x}{2} )^{5} + C$

Think of the above as:

$-\frac{2}{1}$ * $(\frac{8}{2} - \frac{x}{2} )^{5} + C$

= $-\frac{2}{1}$ * $\frac{(8 - x)^{5}}{2^{5}} + C$

= $-\frac{2}{1}$ * $\frac{(8 - x)^{5}}{32} + C$

= $-\frac{1}{1}$ * $\frac{(8 - x)^{5}}{16} + C$

= $\frac{-1(8 - x)^{5}}{16} + C$

= $\frac{(-8 + x)^{5}}{16} + C$

Can flip it around to be...

$\frac{(x - 8)^{5}}{16} + C$

4 0

3 years ago

4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su

irinina [24]

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression $24\div(12-8)\times 6+3$

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression $24\div(12-8)\times 6+3$

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

5 0

3 years ago

the initial cost to set up a website is $48. it cost $44 per month to maintain the website . how many months will you be able to

Delicious77 [7]

We would start with 400 - 48, to cover the initial cost. We would be left with 352 dollars to spare for the monthly bill. 352 divided by 44, which is the monthly cost, would be 8. The website could be set up and held for 8 or 9 months, depending on if the initial cost is paid at the same time or before the first monthly one.

8 0

3 years ago

Read 2 more answers

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile