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3 years ago

Find the volume of the cylinder in terms of pi

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

THE 2 ONE I THINK..........

nignag [31]3 years ago

5 0

The volume of a cylinder is = to V = (area of base)*(height or length).

Here the radius is 3.4 m, so the area of the "base" is pi*r^2 = pi(3.4 m)^2. The height (or length) is 11 m.

Thus, the volume of the cyl. is pi*(3.4 m)^2*(11 m). Can y ou evaluae that? Use 3.14 for the pi value.

V = ?

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A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the

belka [17]

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce ln on both sides

ln 1.5 = ln $1.025^{t}$

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

4 0

4 years ago

The volume of a sphere is increased by 6%. Calculate the corresponding percentage increased in it area.

lions [1.4K]

Answer:

The new volume will be V + 0.06V or 1.06V

Step-by-step explanation:

The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.

3 0

4 years ago

What is the difference between these two expressions?

mariarad [96]

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

5 0

3 years ago

Read 2 more answers

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$