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2 years ago

A cylinder has a diameter of 10 inches in the height four times the radius what is the volume

Mathematics

1 answer:

SVEN [57.7K]2 years ago

8 0

Answer:

500π in^3

Step-by-step explanation:

The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.

The equation for the volume of a cylinder is:

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

We can plug in the radius and height:

$V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}$

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For Tran Please help is appreciate it

Ostrovityanka [42]

Answer:

A = 38°

Step-by-step explanation:

We are going to use cosine law to find angle A where

a = 4.7

b = 3.9 m

c = 2.9 m

${c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \alpha )$

$\cos( \alpha ) = \frac{ {a}^{2} + {b}^{2} - {c}^{2} }{2ab}$

cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)

= 28.89/36.66

= 0.788

A = arccos(0.788) = 38°

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2 years ago

WHAT IS THE PERIMITER? PLS HELP ME OUT. IT WOULD BE REALLY APPRECIATED IF YOU HELPED. IF NOT, ITS ALRIGHT. HAVE A GOOD DAY. IM R

anzhelika [568]

D
you have to use pythagorean theorem to find the missing side then since it’s a rectangle multiply 30 by 2 and 16 by 2 then add those for the perimeter, giving you 92

5 0

3 years ago

Please help fast geometry !!

kotegsom [21]

Answer:

1733.28

Step-by-step explanation:

we want to find the surface area of the cylinder

We are given:

diameter = 12in

height = 40in

formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)

in order to find the SA of a cylinder we need to know the radius

we are given that the diameter is 12

we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )

so r = 12/2 = 6

now to find the surface area,

we simply plug in the values of the radius and height into the SA of a cylinder formula

SA = 2πr^2 + 2πrh

r = 6

h = 40

( note it says use 3.14 for π )

substitute values

SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)

if you plug this into a calculator you get that the surface area is 1,733.28

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2 years ago

The length of fencing required for a rectangular garden in terms of its width, x, if it’s length is 2 units more than 1.5 times

JulijaS [17]

Answer:

$5x+4$ units.

Step-by-step explanation:

Let x be the width of rectangle.

We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: $1.5x+2$ .

To find the length of total fencing we need to figure out perimeter of rectangle with width x and length $1.5x+2$ .

Since we know that perimeter of a rectangle is two times the sum of its length and width.

$\text{Perimeter of rectangle}=2(\text{Length+Width})$

Upon substituting length and width of garden in above formula we will get,

$\text{Perimeter of rectangular garden}=2(1.5x+2+x)$

$\text{Perimeter of rectangular garden}=2(2.5x+2)$

Upon using distributive property we will get,

$\text{Perimeter of rectangular garden}=2*2.5x+2*2$

$\text{Perimeter of rectangular garden}=5x+4$

Therefore, the length of required fencing will be $5x+4$ units.

4 0

3 years ago

8+[13-(2+1)] ????????

IgorLugansk [536]

2+1=3

13-3=10

8+10=18

3 0

3 years ago