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3 years ago

Write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi

Mathematics

1 answer:

IRISSAK [1]3 years ago

3 0

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

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Rational Numbers

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irrational numbers never end.

r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.

ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...

5 0

3 years ago

The table shows the year groups of some students who use the canteen. Mr Ford wants to survey 50 of these students stratified by

igor_vitrenko [27]

7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

Step-by-step explanation:

The given is,

Year Students

7 80

8 110

9 160

Total 350

Mr.Ford wants to survey 50 of these students stratified by year group.

Step:1

Formula to find the ratio of number of grouped students to total students,

$Ratio, r = \frac{Number of students grouped }{Total number of students}$

= $\frac{50}{350}$

= 0.1428

Step:2

Formula for Number of students surveyed from year wise,

For year 7 students,

= (Ratio) × (Students from year 7)

= 0.1428 × 80

= 11.424

≅ 11 (∵ For students we convert into whole number)

For year 8 students,

= (Ratio) × (Students from year 8 )

= 0.1428 × 110

= 15.708

≅ 16 (∵ For students we convert into whole number)

For year 8 students,

= (Ratio) × (Students from year 9 )

= 0.1428 × 160

= 22.8

≅ 23 (∵ For students we convert into whole number)

Step:3

To find How many more year 9 students than year 8 students should be in the survey

= ( Students from year 8 for group) -

( Students from year 8 for group)

= 23 - 16

= 7 students

Result:

7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

6 0

3 years ago

Read 2 more answers

Item 16 your friend earns $10.50 per hour. this is 125% of her hourly wage last year. how much did your friend earn per hour las

Allisa [31]

$ 10.50 divide by 5 b
to find 25% of her hourly wage last year 
Then multiply by 4 to find 100% of her hourly wage last year. 

ex: $ 10.50 divide by 5 
= $ 2.10 
Then multiply by 4 
$ 2.10 x 4 = $ 8.40

4 0

3 years ago

A train travels 38 miles per hour. At this rate, how far will the train travel in 4 hours?

exis [7]

Answer: 152 miles.

Step-by-step explanation: For each hour a train travels 38 therefore if it drove 2 hours it would drive double the distance and so forth.

38 x 4 = 152 miles.

8 0

3 years ago

Read 2 more answers

A(5 1) b(1 5) and c(-3 -1) are the vertices of triangle abc. find the LENGTH of median ad

faltersainse [42]

Answer:

$\text{Length of median AD}=\sqrt{37}$

Step-by-step explanation:

We are given the vertices of triangle ABC. We need to find the length of median AD.

Please see the attachment for figure.

D is mid point of BC because median bisect the opposite side of triangle.

Using the formula of mid point. we get coodrinate of D

$\text{Mid Point :}\left ( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right )$

D is mid point of B(1,5) and C(-3,-1)

$\therefore D \left ( \frac{1-3}{2},\frac{5-1}{2} \right )\Rightarrow (-1,2)$

AD is median of triangle ABC. Now we find length of median AD using distance formula of two coordinate.

$\text{Distance }=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

A(5,1) and D(-1,2)

$AD=\sqrt{(5+1)^2+(1-2)^2}\Rightarrow \sqrt{36+1}$

$\text{Length of median AD}=\sqrt{37}$

Thus, $\text{Length of median AD}=\sqrt{37}$

8 0

3 years ago