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Ksju [112]
3 years ago
9

A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The d

iameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.
Mathematics
1 answer:
erica [24]3 years ago
4 0

Answer:

Step-by-step explanation:

The surface area of the cone would be the sum of the lateral surface area of the cone and the total surface area of the cylinder (one side open)

Lateral surface area of cone = πrl

Diameter of cone = 8 in

Radius, r = 8/2 = 4 in

height of cone = 3 in

To find the slant height, l, we would apply Pythagoras theorem. Thus

l² = 4² + 3² = 25

l = √25 = 5 in

Lateral surface area of cone = π × 4 × 5 = 20π

Formula for total surface area of cylinder required(one side open) is

2πrh + πr²

From the information given,

Height of cylinder, h = 5 in

Radius of cylinder = radius of cone = 4 in

Total surface area = (2 × π × 4 × 5) + (π × 4²) = 40π + 16 π = 56π

The surface area of the rocket = 20π + 56π = 76π sq. in

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Find the area of the following shape, you must show all work to recieve credit,
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7 0
3 years ago
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makvit [3.9K]

Answer:

180

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6 0
3 years ago
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Flying against the wind, a jet travels 2190 miles in 3 hours. Flying with the wind, the same jet travels 9520 miles in 8 hours.
dezoksy [38]

Answer:

Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.

Step-by-step explanation:

Jet's velocity against wind is

3040/4 = 760 miles per hour and flying with wind it is

8260/7 = 1180 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x − y and with wind is x + y and therefore

x − y = 760 and x + y = 1180

Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210

Hence velocity of jet in still air is 970 miles per hour and velocity of wind is

210 miles per hour.

Actual Answer:

https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind

7 0
3 years ago
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Answer:

factor:

x^2+2x+2x+4

x(x+2)+2(x+2)

(x+2)(x+2)

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Hope this helps you

6 0
3 years ago
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