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3 years ago

A cylinder has a volume of 175 pie cubic units and a height of seven units what's the diameter

1 answer:

3 0

Πr²h=175
πr²*7=175
Divide both sides by 7
πr²=25
Divide both sides by π (3.14)
r²=7.96
Square root of 7.96=2.82
r=2.82
Diameter is 2r. 2.82*2
2.82*2=5.64

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Rename 4,180 as hundreds and tens

My name is Ann [436]

Four thousand one hundred eighty

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4 years ago

Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips. If there are a total of

kow [346]

Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.

Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.

let the number of tulips be = x

the number of daffodils be = y

the number of hyacinths be = z

hence according to the question,

tulips are (x) = 1/2 (y) = y/2

hyacinths are (z) = 3(x) = 3x

therefore, total flowers = 204

tulips ₊ daffodils ₊ hyacinths = 204

y/2 ₊ y ₊ 3x = 204

substitute x value in the above equation.

y/2 ₊ y ₊ 3(y/2) = 204

take LCM

y ₊ 2y ₊ 3y = 408

6y = 408

y = 408/6

y = 68

hence the number of daffodils is 68.

now substitute y value in x = y/2

x = 68/2

x = 34

now substitute x value in z= 3x

z = 3(34)

z = 102

hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.

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1 year ago

25/10 as a mixed number

nata0808 [166]

2 1/2

10 goes into 25 2 times with a remainder of 5 so , you get 2 5/10
5/10 reduces to 1/2

7 0

3 years ago

Read 2 more answers

Perform the indicated operation -100/5

ludmilkaskok [199]

Answer:-20

Step-by-step explanation:

The answer is negative 20 because if you do -20 times 5 you get -100. So you now you are right when you did a check step that worked

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3 years ago

Read 2 more answers

The volume of a right circular cone with both

Rufina [12.5K]

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

$\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Take π as 22/7, the expression becomes

$\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Open the bracket

$\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}$

Multiply both sides by 7

$7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7$

$\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250$

Multiply both sides by 3

$3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3$

$22 * \frac{1}{4}h^2 * h = 750$

Multiply both sides by 4

$4 * 22 * \frac{1}{4}h^2 * h = 750 * 4$

$22 * h^2 * h = 3000$

$22 * h^3 = 3000$

Divide both sides by 22

$h^3 = \frac{3000}{22}$

$h^3 = 136.36$

Take cube root of both sides

$h = \sqrt[3]{136.36}$

$h = 5.15$

$h = 5$ (Approximated)

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3 years ago