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andrey2020 [161]
3 years ago
14

Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.

Mathematics
2 answers:
zaharov [31]3 years ago
7 0
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.

On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.

S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2

The lateral area of the cylinder is 240
<span>π cm^2 or in other words letter B from the given choices.</span>
andrezito [222]3 years ago
7 0

Answer:

S.A.=240π cm^2

Step-by-step explanation:

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4 0
2 years ago
how much must you deposit in an account that pays 8% interest,compounded monthly to have a balance of $1000 after three years?​
NNADVOKAT [17]
<h3>Answer:  787.25 dollars</h3>

=============================

Work Shown:

A = final amount after t years = 1000

P = initial deposit = unknown

r = interest rate in decimal form = 0.08

n = compounding frequency = 12

t = number of years = 3

-----

A = P*(1+r/n)^(n*t) is the compound interest formula

1000 = P*(1+0.08/12)^(12*3)

1000 = P*1.27023705162066

1.27023705162066P = 1000

P = 1000/1.27023705162066

P = 787.254629932364

P = 787.25 rounding to the nearest penny

----

note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.

5 0
3 years ago
Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population
LuckyWell [14K]
Given that the number of years should be represented with x, the number of fish in the pond after x years should best be represented with f(x). The equation that would best show the given scenario in the problem above is,
                             f(x) = 500(2^x)
From the given, 500 is used as the initial population of the fish. 
4 0
3 years ago
In a continuous series, mean(x) = 80, assumed mean(A) = 60 and<br>EF=40 then find the value of EFd.​
Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

\bar x = A + \frac{\sum fd}{\sum f}

Where \bar x is the mean

A is the assumed mean

From the given information,

\bar x = 80

A = 60

\sum f = 40

Putting the parameters into the equation, we get

80 = 60 + \frac{\sum fd}{40}

80-60 = \frac{\sum fd}{40}

20 = \frac{\sum fd}{40}

\sum fd = 20 \times 40

\sum fd = 800

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

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8 0
2 years ago
Find the lateral surface area of this
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Answer:

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7 0
3 years ago
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