The area of the circular base of a cylinder is 36 square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of n.

Answers

Answer 1
Answer:

Answer:

The lateral area of the cylinder is 24 \pi\ units^(2)

Step-by-step explanation:

we know that

The lateral area of the cylinder is equal to

LA=2\pi rh

step 1

Find the radius of the base of the cylinder

The area of the base is equal to

A=\pi r^(2)

we have

A=36 \pi\ units^(2)

so

substitute and solve for r

36 \pi=\pi r^(2)

Simplify

r=6\ units

step 2

Find the lateral area

we have

r=6\ units

h=2\ units

substitute the values

LA=2\pi (6)(2)=24 \pi\ units^(2)

Answer 2
Answer:

Answer: 24 square units

Step-by-step explanation: just took the quiz it’s correct :D !


Related Questions

Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%, charged as simple interest. They lend her $6000 for 3 years. She makes no payments except the one at the end of that time. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Mary have to pay? (b) What will the total repayment amount be (including interest)? X
Quadrilateral STRW is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.
Given regular pentagon ABCDE, what are the coordinates of vertex C?a) (b, c)b) (b, -c)c) (-b, c)d) (-b, -c)
Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 pointsthe first digit must be even and the last digit must be greater than 6?8012048144
PLEASE HELP!!!!!will mark brainliest!!!!!

For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,500 students wore their school colors while 300 students did not wear green and white. What percent of the school population did not wear their school colors?

Answers

Answer:

17%

Step-by-step explanation:

1,500 + 300 = 1,800

300/1,800 ≈ 17%

Anthony makes candies. First, he mixes 1 cup of cream with 2 cups of chocolate. In all, he used 9 cups of these 2 ingredients. How many cups of chocolate does he use in this candy recipe?

Answers

Answer:

  6 cups

Step-by-step explanation:

Anthony's recipe uses 2 cups of chocolate for each 3 cups of the two ingredients. So, the chocolate is 2/3 of the total number of cups of the two ingredients.

  2/3 × 9 cups = 6 cups

Anthony uses 6 cups of chocolate to make the candies.

A population was reduced from 3000 to 2500 in the ratio 5:y what is y

Answers

Answer:

y=6

solution,

Thepopulationisreducedfrom3000to2509intheratio5:y

(2500)/(3000)  =  (5)/(y)  \n or \: 2500y = 15000 \n or \: y =  (15000)/(2500)  \n y = 6

Hence,theratiois5:6.

hopethishelps....

Goodluck on your assignment..

Yukio says the scale from DEF to ABC is 3:1. Is Yukio Correct? Explain

Answers

Answer: Yes, Yukio is correct.

Step-by-step explanation:

Assuming that Triangle DEF and ABC have the same angles (they do because they are right-angled), we can take the length from the larger triangle (DEF) and divide it by the length of the smaller triangle (ABC).

Length of DEF = 6cm

Length of ABC = 2cm

= 6/2

= 3

Proves that scale of DEF to ABC is 3:1

Find the next 2 numbers in the pattern
-12, 60, -300, 1500, ____, ____.

Answers

You are multiplying by -5 each time.

Multiply

1500 x -5 = -7500

-7500 x -5 = 37500

-12, 60, -300, 1500, -7500,37500

hope this helps

If a jogger runs 2 miles and burns 185 calories, how many calories would he burnjogging 3 miles?

Answers

Answer:277.5
Explanation: If 185 calories=2 miles then 1 mile=92.5 calories. 185+92.5=277.5