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antoniya [11.8K]
3 years ago
5

The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airp

lane to the nearest foot?
Mathematics
1 answer:
Kruka [31]3 years ago
8 0
Since the scale is 1:83, the real airplane is 83 times longer than the model airplane.

real length = 10.5 in * 83 = 871.5 in

Now we convert 871.5 in into ft.
1 ft = 12 in, so 1 in = 1/12 ft
We divide the number of inches by 12 to find the number of feet.

871.5 in = 871.5/12 ft = 72.625 ft
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sergiy2304 [10]
Sophia is more correct in her solution.

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3 years ago
A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi
Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

\text{Volume of the cyllinder}= \pi r^2h

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h

Substitute the values,

\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3

                                  = \dfrac{4}{3}\pi r^3\\\\=  \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water =  Volume of the cylinder - Volume of the sphere

                                   = 1696.46 - 113.097

                                   = 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0
2 years ago
Urgent!!!!
LekaFEV [45]

Answer:

One pair of socks is $370.

Step-by-step explanation:

Sean bought <em>three pairs</em> of the same socks and a shoe polish for $1450. If the

polish cost $340, how much is the cost of <em>one pair</em> of socks.

6x - 340 = 1450

6x = 1450 -340

6x = 1110

2x = 1110 / 3

2x = 370

8 0
3 years ago
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Make the two 2/1 and make the 1/3 a 3/1. Your equation should be 2/1 x 3/1, then you must simplify your answer.
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Janice is considering two restaurants for a party. The first restaurant charges $15 per person plus a flat rate of $175 to reser
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Step-by-step explanation:

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