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nekit [7.7K]
2 years ago
15

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the

cylinder when the radius of the base increases to 5.05
Mathematics
1 answer:
Olin [163]2 years ago
6 0

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2

When r = 5.05, new volum becomes,

V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².

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How to get rid of a square root in the denominator?.
Romashka [77]

Answer:

see explanation

Step-by-step explanation:

to clear a square root on the denominator

Multiply the numerator and denominator by the square root, for example

\frac{5}{\sqrt{3} }

= \frac{5}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{5\sqrt{3} }{3}

4 0
2 years ago
Which economic Indicator measures inflation?<br> A. GDP<br> ОВ. СРІ<br> C. unemployment rate
lesya [120]

Answer:

B. CPI

Step-by-step explanation:

3 0
3 years ago
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
zalisa [80]

Answer:

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

So

F + E = 30\\

We also know that:

E = 3F

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

F + 3F = 30\\F = 30/4\\F = 7.5 miles\\

Then E = 7.5*3 = 22.5 miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train (V_{E}) is the distance traveled between the time it did

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

3 0
3 years ago
What is the genral form of (x-6)2+(y-4)2=56
dusya [7]
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5 0
3 years ago
Use trigonometric ratios to find the indicated side
iragen [17]

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

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B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

4 0
2 years ago
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