All categories

2 years ago

A cylinder has a surface area of 234π meters with a radius of 9 m. What is the volume of the cylinder? Leave your answer as π

Mathematics

1 answer:

sasho [114]2 years ago

7 0

Answer:

Step-by-step explanation:

surface area of cylinder=2 $\pi$ rh

or,234 $\pi$ =2*22/7*9*h

or,234*22/7=396/7*h

or,5148/7=396/7*h

or,36036=2772h

or,36036/2772=h

h=13

now,

volume= $\pi$ r^2h

=22/7*(9)^2*13

=3309.4285

You might be interested in

I need help on 11 please

Alisiya [41]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Question 11 :

the equations are :

$- 2x - 3y = 9$

$4x + 6y = - 18$

now, let's graph the lines ~

As you can see in the attachment, The lines coincides each other, so the equations are :

consistent and dependent

5 0

2 years ago

A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can

Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

$y=0.50x+9.25$

Here,

y = cost of the pizza

x = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When x = 2 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25$

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When x = 18 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25$

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

6 0

3 years ago

Write a new function that represents a transformation to the parent function if the new function shifts right 5 units and up 3 u

irga5000 [103]

Answer:

Let's define two transformations.

Vertical translation.

If we have a function f(x), a vertical translation of N untis is written as:

g(x) = f(x) + N

If N is positive, then the translation is upwards

If N is negative, then the translation is downwards.

Horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x - N)

if N is positive, then the translation is to the right

If N is negative, then the translation is to the left.

Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.

Then:

g(x) = f(x - 5) + 3

and again, using f(x) = x^2

g(x) = (x - 5)^2 + 3

6 0

2 years ago

10 ounces is what fraction of a pound?

kicyunya [14]

There are 16 oz. in a pound.
10/16
5/8

7 0

3 years ago

Grayson has $300 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn i

BabaBlast [244]

Answer:

$180

Step-by-step explanation:

Interest for 1 year = 10% of $300

Interest for 6 years

= (10% × 6) of $300

= 60% of $300

= (60/100) × $300

= 60 × $3

= $180

So, he will earn $180 as interest in 6 years.

4 0

2 years ago