MATHEMATICS HIGH SCHOOL

HELP ASAP THIS IS STRESSING ME OUT! A right circular cylinder has a surface area of 96π in2 and a radius of 4 in. What is the height of the cylinder?
A. 8 in.
B. 6 in.
C. 16 in.
D. 24 in.

Answers

Answer 1
Answer: The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.

If the radius of the base is r and the height is h, then the surface area of the cylinder is

A=2\pi r^2+2\pi rh

You're given that the area is 96\pi and the radius is 4, so you have

96\pi=2\pi*4^2+2\pi*4h\implies 12=4+h\implies h=8

Related Questions

Which of the following represents the factored form of f(x) = x3 − 81x?f(x) = x(x − 9)2f(x) = (x + 9)(x − 9)f(x) = x(x + 9)(x − 9)f(x) = x(x2 − 9)
What is -2.1, 0.5, -0.5, 5/100 ordered in least to greatest
Whats the mean, media, maximum,minimum,mode and range of 1,2,1,3,4
Which box is greater a 1.5 pound box of raisins or a 650 gram box of raisins?
Israel planted 4 tomato seeds in his garden. Then he planted flower seeds in each of his three neighbor's gardens. Which expression represents the number of seeds Israel planted?A. 4s + 3B. 4 + 3sC. 4 – 3sD. 3s – 4

Please help!!! I'll make you Brainliest!!! A manufacturer is cutting fabric into rectangles that are 18.55 in. long by 36.75 in. wide. Each rectangle's length and width must be within 0.05 in. of the desired size. Write and solve inequalities to find the acceptable range for the length i and the width w.

Answers

length=l
width=w

18.5<l<18.6
36.7<w<36.8

Hope this helps :)

the range of length: (18.50 to 18.60 in.)

the range of width: (36.70 to 36.80 in.)

Write 9/12 as a decimal

Answers

9 / 12      3 into 9 is 3 and 3 into 12 is 4

= 3 / 4

= 0.75

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

  • The center of the circle lies on the x-axis
  • The radius of the circle is 3 units.
  • The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is expressed as:

x^2+y^2+2gx+2fy+C=0

  • Centre is (-g, -f)
  • radius = √g²+f²-C

Given a circle whose equation is x^2 + y^2 - 2x - 8 = 0.

Get the centre of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Learn more on circles here: brainly.com/question/23226948

Answer:

a, b and e

Step-by-step explanation:

i got it correct on edge

Kwikset Enterprises sold 300 shares of stock at $12.34 per share. The underwriting commission was 5.8%. To the nearest cent, how much did Kwikset Enterprises make on its sale of stock, after subtracting the underwriting commission?

Answers

Kwikset has 300 shares in the stock. He sold it for 12.34 dollars per share:
So:
=> 300 * 12.43 dollars = 3702 dollars is the total money that she get after selling the stocks.
Now, it will be deducted by 5.8% commission.
=> 3702 * .058 = 214.716
=>  3702 - 214.716 = 3487.284 dollars 
or -3487.28 dollars.

The sum of two numbers is 35. twice the first number is equal to 5 times the second number. find the two numbers

Answers

label your numbers (I'm picking x and y)
x+y=35
2x=5y
find the relationship between your numbers
x=35-y
apply this to the other equation
2 (35-y)=5y
now simplify to find y
70-2y=5y
70=7y
y=70/7=10
now apply your newly found y to find x
x+10=35
x=25
check your answers
2 (25)=5 (10)
50=50
so our first number x is 25 and our second number y is 10

Two friends share 3 fruit bars equally.How much does each friend get

Answers

you have to dived three by 2, therefore, 3/2 equals...1.5
1 and 1/2 each you know the answere because there is 3 fruit and two frieds then each friend gets one and then get another half because of the remaining fruit.
Other Questions
If the hot dog eating champion's goal is to eat 1 hot dog every 13 seconds, how many whole hot dogs does he expect to eat in 12 minutes?
The ratio 8.4 to 4.4
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?
Which answer describes this series? 2 + 4 + 12 + 48 +... e) Neither arithmetic nor geometric f) Both arithmetic and geometric g) arithmetic h) geometric