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2 years ago

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the cylinder

Mathematics

1 answer:

ladessa [460]2 years ago

7 0

Answer:

18/20π

Step-by-step explanation:

81π ÷ 1 = 81π

81π ÷2 = 18/20π

You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.

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3(5j+2)=2(3j-6) how do i do this

ohaa [14]

3(5j+2)=2(3j-6) do distributed to remove parenthesis 15j+6=6j-3 . Then move all j to left side and the second term to right side 15j-6j=-3-6. Now solve both sides 9j= -9. Now divide both sides by 9 to get j alone to j = -1

5 0

3 years ago

Read 2 more answers

Can someone help me with this?

aivan3 [116]

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

Given

Volume (v) = 57ft³

$v = \frac{4}{3} \pi {r}^{3}$

$57 = \frac{4}{3} \times 3.14 \times {r}^{3}$

$57 = \frac{12.56}{3} \times {r}^{3}$

$57 = 4.19 \times {r}^{3}$

${r}^{3} = \frac{57}{4.19}$

${r}^{3} = 13.6$

$r = \sqrt[3]{13.6}$

Therefore r = 2.4 ft

I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft

7 0

3 years ago

A rectangle has an area of 8x2 - 2x - 45. The length of the

Savatey [412]

Answer:

$Width = W = 2x-5$

Step-by-step explanation:

Given Data:

Length of rectangle = L = $4x + 9$ ------->(Equation 1)

Area of rectangle = A = $8x^{2} - 2x -45$ square inches ------->(Equation 2)

To find out:

Width of rectangle = W = ?

Formula:

Area = A = L×W

$Width = W = \frac{A}{L}$

Solution:

$Width = W = \frac{A}{L}$

$Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}$

For complete division check the attached image.

$Width = W = 2x-5$ inches

5 0

3 years ago

The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and

mash [69]

Number of children attended is 1200 and number of adults attended is 1500

<h3><u>Solution:</u></h3>

Given that,

Admission fee for each children = $ 1.50

Admission fee for each adult = $ 4.00

Let "c" be the number of children attended

Let "a" be the number of adults attended

Given that 2700 people enter and $7800 is collected

Number of children attended + number of adults attended = 2700

c + a = 2700 -------- eqn 1

Also given that $7800 is collected

Number of children attended x Admission fee for each children + number of adults attended x Admission fee for each adult = 7800

$c \times 1.50 + a \times 4 = 7800$

1.5c + 4a = 7800 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "c"

From eqn1,

a = 2700 - c ----- eqn 3

Substitute eqn 3 in eqn 2

1.5c + 4(2700 - c) = 7800

1.5c + 10800 - 4c = 7800

-2.5c = -3000

c = 1200

Therefore from eqn 3,

a = 2700 - 1200

a = 1500

Therefore number of children attended = c = 1200

number of adults attended = a = 1500

3 0

3 years ago

Shamir and Juliet are traveling at constant rates in their cars. If Shamir travels

snow_lady [41]

How much farther than Shamir will Juliet travel in one hour is : b. 3 miles.

<h3>Distance</h3>

1 hour= 60 minutes

Given:

Difference in 10 minutes=1/2 mile

Hence:

Difference in one hour=1/2×(60/10)

Difference in one hour=1/2× 6 mile

Difference in one hour=3 miles

Therefore how much farther than Shamir will Juliet travel in one hour is : b. 3 miles.

Learn more about distance here:brainly.com/question/2854969

#SPJ1

5 0

2 years ago

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the​ cylinder

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the cylinder