# Find the volume of the cylinder. Diameter : 9 Radius : 4.5 Height : 15 A) 303.75 cm B) 135 cm C) 1215 cm D) 67.5 cm

953.775cm³

Step-by-step explanation:

V=  πr²h

V= 22/7x 4.5²x 15 = 3.14 x303.75 = 953.775cm³

Volume of the cylinder = 953.775

Step-by-step explanation:

Radius of the cylinder = 4.5

Height of the cylinder = 15

Volume of the cylinder is given by

Substituting the relevant values in the expression,

Volume of the cylinder =

=

=

=

Hence none of the given options are correct. The actual volume of the cylinder is 953.775.

## Related Questions

2 times 1/4=1/4+1/4= /4

2 x 1/4 = 1/4 + 1/4 = 2/4 = 1/2

59 people going on a trip each van holds 8 people how many vans will be needed for all people?​

Step-by-step explanation:

i think its 472

59 times 8 is 472

Given that a rectangular yard has dimensions length = 8x-3 and width 2x+6 determine the perimeter of the yard

The perimeter of rectangular yard is 20 x + 8   yard

Step-by-step explanation:

Given as :

The length of the rectangular yard = L = 8 x - 3   yard

The width of the rectangular yard = w = 2 x + 6   yard

Let The perimeter of rectangular yard = p yard

According to question

Now, The perimeter of rectangular yard is given as

Perimeter = 2 × Length + 2 × width

Or, p =  2 × L + 2 × w

Or, p = 2 × (8 x - 3) + 2 × (2 x + 6)

Or, p = 16 x - 6 + 4 x + 12

Or, p = (16 x + 4 x) + (12 - 4)

Or, p = 20 x + 8   yard

So, The perimeter of rectangular yard = p = 20 x + 8   yard

Hence The perimeter of rectangular yard is 20 x + 8   yard    Answer

The number of coffee shops in a certain country can be modeled by the quadratic function f ( x )=110 x squared + 746 x + 4417,

where​ f(x) is the number of coffee shops and x is the number of years after 2000. Complete parts a and b

a. Find the number of coffee shops in

2004.

b. If the trend described by the model​ continues, predict the year after 2000 in which the number of coffee shops will be 26,500.

a. The number of coffee shops in 2004
was

a. 9161

b. 2011

Step-by-step explanation:

The number of coffee shops in the country can be modeled as by the function: f(x) = 110x² + 746x + 4417, where f(x) is the number of coffee shops and x is the number of years after 2000.

a. Now, in 2004, the x value is (2004 - 2000) = 4.

Therefore, f(4) = 110 × 4² + 746 × 4 + 4417 = 9161

So, the number of coffee shops in 2004 is 9161.

b. If f(x) = 26500, then we have to find the value of x.

So, 110x² + 746x + 4417 = 26500

⇒ 110x² + 746x - 22083 = 0

Applying the Sridhar Achaya formula to find x,

{Neglecting the negative roots as x can not be negative}

⇒ x = 11.17 years.

If ax² + bx + c = 0, then Using the Sridhar Acharya Formula, we can write

and

Therefore, in 2011 the number of coffee shop will be 26500.

What is 2/5 of 16 miles

6.4 miles is the correct answer
2/5 of 16 miles is 6.4 miles.

A car company charges \$34 per day for a rented car and \$0.50 for every mile driven. A second car rental company charges \$20 per day and \$0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

It would be when it gets to 3 miles because then that would be \$1.50

Step-by-step explanation:

The expression 3x to the second power represents

3x3 or six or Im just not smart

Step-by-step explanation:

If f(x) = 5x, what is f^-1(x)? o f^-1(x) = -5x
o f^-1(x)= -1/5x
o f^-1(x) = 1/5x
o f^-1(x) = 5x

Third choice

Step-by-step explanation:

They are asking us to find the inverse of y=5x. To do this you just switch x and y and then remake y the subject of the equation (solve for y.)

y=5x

x=5y (I switch x and y)

x/5=y ( I divided both sides by 5)

Then you just replace y with the f^-1(x) thing

f^-1(x)=x/5

or

f^-1(x)=1/5x

C (

Rearranging the formula of :

For all inverse functions, . This can verify the answer by

Divide (8.6 x 10^8) by (3.2 x 10^3). Express your answer in scientific notation