All categories

3 years ago

Please HELP me. I've been trying to solve this question for an hour but I didn't find any answer.

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Volume of a cylinder is formulated as: π·r²h
Surface area of a cylinder is formulated as: 2π·rh + 2π·r²

So, for a:
Volume = π·5²·12 = π·25·12 = 300π
Surface area = 2π·5·12 + 2π·5² = 120π + 50π = 170π

And it's essentially the same process for the other questions.

You might be interested in

You’ve bought a cylindrical thermos 8 in. high with a base 6 in. across. How much coffee can you put in the thermos?

lana66690 [7]

Answer:

3.706 liters

Step-by-step explanation:

Hello

assuming that these measures correspond to the internal measures of the thermos,

we can calculate the volume as, the volume of a cylinder, which is given by

$V=\pi r^{2} h$

where r is the radius of the base, and h the height

also

Diameter=2r

r=Diameter/2

Step 1

let

h=8 in

base = diameter = 6 inch

r=diameter/2

r=6/2 inch,r=3 inch

Step 2

Put the values into the equation

$V=\pi r^{2} h\\V=\pi (3in)^{2} (8 in)\\V=\pi *72 \ in^{3} \\\\V=72\pi\ in^{3} \\\\$

Step 3

Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing

1 inch = 2.54 cm

1 litro = 1000 cubic centimeters

$if\ 1\ inch\ = 2.54\ cm\\(1\ inch)^{3} =(2.54\ cm)^{3}\\\\1\ inch^{3}=16.3870\ cm^{3}$

1 cubic inch = 16.3870 cubic centimeters

$1\ cubic\ inch\ = 16.3870\ cubic\ centimeters\\\\\\72\pi =x?\ cubic\ centimeters\\\\x=\frac{72\pi \cubic \ inch\ \*16.3870 }{1\ cubic\ inch} \\\\x=3706.65\ cubic\ centimeters$

Step 4

Finally, convert cubic centimeters into liters $1000\ cubic\ centimeters =1\ liter \\\\\\3706.65\ cubic\ centimeters = x?\ liters\ centimeters\\\\x=\frac{3706.65 \cubic \ centimeters\ \*1 liter}{1000 cubic centimeters} \\\\x=3706.65\ cubic\ centimeters\\x=3.706 Liters$

I can put 3.706 liters in the thermos

Have a good day

4 0

4 years ago

a teacher wants to give 3 markers to each of her 25 students .Markers come in packages of 8.How many packages of markers will th

Tresset [83]

Answer:

10 packs of markers

Step-by-step explanation:

3 x 25 = 75 markers she will need for her whole class

75 / 8 = 9.4 packages needed to get 75 markers, but since you cant buy have of a pack you round up so she will have enough for her class and a couple extra.

4 0

3 years ago

How do you solve 5x + 7 = 2x + 1

quester [9]

Answer:

x = -2

Step-by-step explanation:

5x + 7 = 2x + 1

subtract both sides by 2x

3x + 7 = 1

subtract both side by 7

3x = -6

divide both sides by 3

x = -2

4 0

3 years ago

A correlation coefficient of r= -0.92 is stronger than a correlation coefficient of r-

Katarina [22]

They both have strong correlation coefficients but one has a strong positive correlation and the other has a strong negative correlation.

Not sure if that answered your question.

7 0

3 years ago

Help me please i need help

Korolek [52]

Answer:

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

6 0

2 years ago