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dem82 [27]
3 years ago
12

What is the mass of a cylinder of lead with a radius of 2 centimeters and a height of 6 centimeters, given that the density of l

ead is 11.4g/cm^3?
Mathematics
1 answer:
ycow [4]3 years ago
7 0

The mass of lead cylinder is: 859.10 grams

Step-by-step explanation:

In order to find the mass of a cylinder we have to find the volume first

Given

Radius = r = 2 cm

Height = h = 6 cm

The volume of cylinder is given by:

V = \pi r^2h

Putting the values

V = 3.14 * (2)^2 * 6\\= 3.14*4*6\\=75.36\ cm^3

Now,

Density of lead per cm^3 = 11.4g

Mass\ of\ cylinder = Volume*Density\\= 75.36*11.4\\=859.10\ grams

The mass of lead cylinder is: 859.10 grams

Keywords: Volume, Density

Learn more about volume at:

  • brainly.com/question/2115122
  • brainly.com/question/2116906

#LearnwithBrainly

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3 years ago
You deposit $200 in an account earning 3% interest compounded
anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

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First, change 3% into its decimal form:

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Now, plug in the values:

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3 years ago
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
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Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

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Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

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Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

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