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2 years ago

A cylinder has a radius of 5 and height of 3. what is the volume

Mathematics

1 answer:

Lapatulllka [165]2 years ago

8 0

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = $\pi$ r²h (where r = radius and h = height)

Therefore, volume = $\pi$ x 5² x 3

= $\pi$ x 25 x 3

= 75 $\pi$

= 236 cubic units (to 3 significant figures)

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Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.

Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0

3 years ago

Find the circumference of the circle if the square has an area of 144 m. Give your answer to the nearest tenth. Use 3.14 for pie

frez [133]

Answer:

The circumference is 42.54

4 0

3 years ago

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m

nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

$2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17$

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

$\angle1=2(17)+6\\\angle1=34+6\\\angle1=40$

So, the actual measure of ∠1 = 40°

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3 years ago

Tony has 24 stamps in his collection this is 1/3 times the number of Jordan has how many stamps does Jordan have

Cerrena [4.2K]

You have to find 1/3 of 24, so it is 8

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3 years ago

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morpeh [17]

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3 years ago