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Ganezh [65]
3 years ago
6

The height of a cylinder is 10 and the area of a base is 36π square units. What is the volume in cubic units?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

1131 cubic units

Step-by-step explanation:

The height of a cylinder is 10 and the area of a base is 36π square units. What is the volume in cubic units?

Volume of a cylinder = πr²h

Height = 10 units

Area of the base of a cylinder = πr² = 36π =

Hence:

Volume of the cylinder = 36π × 10

= 1130.9733553 cubic units

= Approximately = 1131 cubic units

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A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students
ValentinkaMS [17]

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

8 0
2 years ago
What is the value of n? n–2= 10n+ 4/2 Enter your answer in the box.
pentagon [3]

Answer:

-4 / 9

Step-by-step explanation:


 n - 2 = 10n + 4/2

 n - 10n = 4/2 + 2

 -9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)

 -9n = 8/2

 -9n = 4

    n = 4 / -9

   

   therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .


7 0
3 years ago
1. A radio cost $20, Harold buys it for $12, what percent off the original price did he receive?
Dima020 [189]
1. 20•.4=8 so 40%
2. 20%
7 0
2 years ago
Read 2 more answers
Are the ratios equivalent 16:14 64:60
RSB [31]
No, but 16/15 is equivalent
5 0
3 years ago
Read 2 more answers
A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
3 years ago
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