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bogdanovich [222]
2 years ago
8

What is the volume of this sphere?

Mathematics
1 answer:
Inga [223]2 years ago
6 0

Answer:

V=2143.57\ mm^3

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3

Put all the values,

V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3

So, the volume of the sphere is equal to 2143.57\ mm^3.

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A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and
Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0
3 years ago
Mr. Washington is buying a gallon of milk for $3.99 and some boxes of cereal for $4.39 each. If Mr. Washington has
wolverine [178]

Answer:

$20-$3.99(milk)=$17.01÷$4.39(cereal)=4 boxes of cereal

5 0
3 years ago
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal no
In-s [12.5K]

Answer:

Kelsey has 8 plus more entries

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5 0
2 years ago
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
777dan777 [17]

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

8 0
3 years ago
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by
Svetach [21]

Answer:

the second description and and expression is correct

Step-by-step explanation:

the first one is wrong because it says 7 minus while it should be minus 7

6 0
3 years ago
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