MATHEMATICS MIDDLE SCHOOL

Steve has a steel barrel with a diameter of 4 feet that can be filled to a depth of 4.3 feet with oil. What is the volume of the barrel?Use = 3.14

A.
54.008 cubic feet

B.
51.6 cubic feet

C.
78.128 cubic feet

D.
17.708 cubic feet

Answers

Answer 1

Answer:

Answer:

Option A. 54.008 cubic feet

Step-by-step explanation:

we know that

The volume of the barrel is equal to

$V=\pi r^(2)h$ ----> volume of the cylinder

we have

$r=4/2=2\ ft$ ----> the radius is half the diameter

$h=4.3\ ft$ ---> is the depth

$\pi =3.14$

substitute

$V=(3.14)(2)^(2)(4.3)$

$V=54.008\ ft^(3)$

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Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then, she changes pans so that the new one is 20 by 20 by 5 cm deep. How far is the batter now from the top? Round to the nearest tenth.Also, pleaseshow work. That way I can look at how the problem is solved. Thank you!

Answers

The volume of the first pan is (length x width x depth) =

   (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan. So we know that
there is 1408 cm³ of batter in the new pan. It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

       (length x width x depth) = 1408 cm³

   (20cm x 20cm) x (depth) = 1408 cm³

(400 cm²) x (depth) = 1408 cm³

Divide each side by 400cm² : depth = 1408 cm³ / 400cm²

   = 3.52 cm

Since the new pan is 5 cm deep, this works. The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is from the top of the pan.

The pan is 5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's 1.5 cm from the top.

a farmer ships 4 times as many oranges as tangerines. the farmer ships 8260 oranges. how many tangerines does he ship? write an equation, then solve.

Answers

8260/4=x is the equation. the answer is that the farmer ships 2065 tangerines.

the farmer has 265 tangerines

Simplify. –12.8 – (–7.4) + 16.7

A.
11.3

B.
–3.5

C.
36.9

D.
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Answers

-12.8 - (-7.4) + 16.7 Expand out the brackets
-12.8 + 7.4 + 16.7 Simply add all
= 11.3
A

–12.8 – (–7.4) + 16.7.

-12.8 + 7.4 + 16.7 Minus Minus is Plus.

16.7 + 7.4 - 12.8

24.1 - 12.8

11.3

Option A.

A bike path is 6 3/4 What whole number is closest to 6 3/4

Answers

The closest whole number to 6 3/4 is 7.

One bag of rice that weights 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces). True or False

Answers

Hello, JohannaSalmeron!

Set up proportions for the problem:

1 pound 4.5 pounds
________ x ___________

16 ounces x ounces

Cross multiply and solve for x.

x= 16 x 4.5
x= 72 ounces

So false, the recipe would call for 72 ounces of rice.

Answer: False

Hope this helps :)

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