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lilavasa [31]
3 years ago
6

A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and

the lateral area of the cylinder.
Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

height of cylinder, h = 2r

radius of cylinder = r

Surface area of sphere, A = 4πr²

lateral surface area of cylinder, A' = 2 πrh

A' = 2πr x 2r = 4πr²

The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

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3 years ago
A cylinder with the height of 6km has a volume of 384km3 what is the radius?
azamat

Answer:

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Step-by-step explanation:

V = π r^2 h so 383 = r^2 (6)

383 / 6 = r^2

64 = r^2 so

r = 8

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3 years ago
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x
meriva

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

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In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

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where;

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Therefore,

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(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

brainly.com/question/12559989

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2 years ago
Which of the following can be used to find the
Andrej [43]
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4 years ago
The i-phone 7 Plus 32G costs $769. Amazon has a sale for 15% off. What's the sale price?
kiruha [24]

Answer:

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