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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

Answer:

the volume of the cylinder is 785 units^2

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

Given that

The diameter is 10 units

So, the radius is half of the diameter i.e. 5 units

The height would be twice of the radius i.e. 10 units

Now the volume of the cylinder is

=πr^2h

r denotes the radius

And h denotes the height

= 3.14 × 5^2 × 10

= 785 units^2

Hence, the volume of the cylinder is 785 units^2

You might be interested in

There are 150 students and 3/5 of these students are girls. 2/3 play school activities. how many play activities?

Murrr4er [49]

Answer:

100 or 60

Step-by-step explanation:

Since the question does not specify whether $\frac{2}{3}$ refers to only the girls or all students, both will be calculated for your convenience.

If 2/3 refers to all students:

150* $\frac{2}{3}$

=100

If 2/3 refers to the girls:

150* $\frac{3}{5}$ * $\frac{2}{3}$

=150* $\frac{2}{5}$

=60

8 0

3 years ago

Read 2 more answers

A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their ad

vovangra [49]

Answer:

456

Step-by-step explanation:

Let X be the SATscore scored by the students

Given that X is normal (1000,200)

By converting into standard normal variate we can say that

$z=\frac{x-1000}{200}$ is N(0,1)

To find the top 10% we consider the 90th percentile for z score

Z 90th percentile = 1.28

$X= 200+1.28(200)\\= 200+256\\=456$

i.e. only students who scored 456 or above only should be considered.

3 0

4 years ago

Evaluate: 5/8 - (1/4)²

Viefleur [7K]

Answer:

5/8 - (1/4)^2 = 0.5625, hope this helps!

6 0

3 years ago

The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

dolphi86 [110]

Answer:

$1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

Step-by-step explanation:

Given :

The Sahara Desert has an area of approximately 9,400,400 sq.km.

Depth = 150 m

To Find :Approximately how many grains of sand are in the Sahara Desert?

Solution:

Area of Sahara desert = 9,400,400 sq.km.

$1 km^2 = 1000000 m^2$

So, $9,400,400 km^2 = 1000000 \times 9400400 m^2$

$9,400,400 km^2 =9.4004 \times 10^{12}m^2$

Volume of sand = $Area \times depth$

= $1.41006\times 10^{15} m^3$

$1 m ^3 = 1000000 cm^3$

So, $1.41006\times 10^{15} m^3 = 1.41006\times 10^{15} \times 1000000cm^3$

$1.41006\times 10^{15} m^3 =1.41006 \times 10^{21}cm^3$

1 cubic cm holds grains of sand = 8000

$1.41006 \times 10^{21}cm^3$ holds grains of sand = $1.41006 \times 10^{21} \times 8000$

= $1.128048 \times 10^{25}$

Hence $1.128048 \times 10^{25}$ grains of sand are in the Sahara Desert

7 0

3 years ago

1. On a blueprint, a rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet.

timofeeve [1]

Roughly, the perimeter of the room, including the sitting area, would be 65.909 ft squared. The perimeter of the semicircle would be approximately 13.909 ft. Then, add it to the 24 (12 x 2) and 28 (14 x 2), and you get 65.909 ft squared. As for the area, it would 168 (12 x 14) + pi (3.1415...) x 6 squared (radius squared - radius is half of the diameter) divided by two (since it's a semicircle). So then, your answer would be about <span>224.54 square feet.</span>

5 0

3 years ago