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Ne4ueva [31]
4 years ago
15

A food manufacturer stores palm oil in a right circular cylindrical container. This container has a height of 20 inches, and a b

ase with a diameter of 12 inches. What is the surface area of this container in terms of pi?
Mathematics
1 answer:
makkiz [27]4 years ago
3 0

Answer:

<u>312π square inches</u>

Step-by-step explanation:

The surface area of a cylinder is the area of <u>both its bases and its lateral area added together. </u>

The area of a circle is <u>pi times the radius squared.</u> The radius in this case would be 6, half of the 12 inch diameter. 6 squared is 36, making one base 36π inches squared. Multiply that by two to get the area of both bases; 73π inches squared.

The lateral area of a cylinder is the <u>circumference of the base multiplied by the height of the cylinder. </u>Circumference being <u>pi times the diameter,</u> it would be equal to 12π. Multiply that by the height to get 240π.

Then <u>add the two values together</u> to get 312π, the final answer.

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Find the volume of the prism. Round to the nearest tenth if necessary.
Lubov Fominskaja [6]

Answer:

14.7 (Because you asked for no units)

Step-by-step explanation:

The volume of this triangular prism is 1/2 BHL

0.5 * 3.5 * 2 * 4.2 = 14.7 ft^3

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%5Cgreen%7D%5Cfcolorbox%7Bblue%7D%7Bcyan%7D%7B%5Cbf%7B%5Cunderline%7B%5Cred%7B%5C
MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
2 years ago
Explain which situation will give you the best price: a discount of 15% and then 10% off that amount, a discount of 10% and then
Anuta_ua [19.1K]

Answer: a discount of 25%

Step-by-step explanation:

if you take any number and take 10 percent off then 15 percent off it’s even but 25 percent off is a better discount because it takes more money off the original price

4 0
3 years ago
Read 2 more answers
How much material is needed to construct a triangular tent that is 6 feet wide 4 feet tall and 8 feet long with side measurement
jonny [76]

Answer: 152ft^2

The amount of material needed to construct the tent is 152ft^2

Step-by-step explanation:

The amount of material needed to construct a triangular tent= the surface area of the triangular tent.

S.A = area of the 2 side rectangles + area of the 2 side triangles + area of the base.

S.A = Ab + At + Ar ....1

Area of the base Ab= Length × width = 8×6 = 48ft^2

Area of the two triangles At = 2 × 0.5 × width × height

At = width × height = 6×4 = 24ft^2

Area of the two rectangles Ar = 2 × side measurement × length

Side measurement is given as 5ft.

or it can be calculated using;

Side length can be calculated using Pythagoras theorem.

Examining the figure attached, we can see that;

Side breadth b = √(h^2 + (w/2)^2)

b = √(4^2 + (6/2)^2) = √(16+9) = √25

b = 5ft

Ar = 2×5×8 = 80ft^2

From eqn1, S.A can be solved as;

S.A = 48 + 24 + 80

S.A = 152ft^2

7 0
4 years ago
The length of a shoestring is 21 1/4 centimeters long. What would be the length of 4 of these shoe strings?​
beks73 [17]

Answer:

21.25 multiplied by 4, which is 85.   Final Answer : 85 centimeters long

Step-by-step explanation:

21.25 is the same as 21 1/4.

3 0
3 years ago
Read 2 more answers
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