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Triss [41]
3 years ago
6

The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4:1.

Mathematics
1 answer:
ozzi3 years ago
4 0

Answer:

(a)\ r = 8cm

(b\ Area = 200.96cm^2

(c)\ Volume = 2143.573cm^3

Step-by-step explanation:

The largest cross-section of a sphere is the center.

So, we have:

A : C = 4 : 1

Where

A = \pi r^2

C =2\pi r

Solving (a): The radius

A : C = 4 : 1 implies that

\pi r^2 : 2\pi r = 4 : 1

Express as fraction

\frac{\pi r^2 }{ 2\pi r} = \frac{4 }{ 1}

\frac{\pi r^2 }{ 2\pi r} = 4

Divide by \pi r

\frac{r}{ 2} = 4

Make r the subject

r = 4 * 2

r = 8cm

Solving (b): Area of the largest cross-section.

Area = \pi r^2

Area = 3.14 *8^2

Area = 200.96cm^2

Solving (b): Volume of the sphere

Volume =\frac{4}{3}\pi r^3

Volume =\frac{4}{3} * 3.14 * 8^3

Volume = 2143.573cm^3

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horrorfan [7]
What can be divided? For example, for 48 you can divide 1, and 48 and you can also divide it by two which equals to 24 so keep writing that from least to greatest. You don't have repeat answers. 
1,2,3,4,6,8,12,16,24,48
4 0
3 years ago
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
expeople1 [14]

Answer:

8.5m^{2}+ m -5

Step-by-step explanation:

Since perimeter, P=19m^{2}+ 2m -10 and we know that P=2(l+w) then P=2(l+m^{2})=2l+2m^{2}

The length will be 2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10

Now l=8.5m^{2}+ m -5

6 0
3 years ago
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
mel-nik [20]

Answer:

interest rate = 2.9%

Step-by-step explanation:

the principal is $25,000, the interest is $10,875

Number of years = 15

We use simple interest formula

I = P*r*t

Where I is the interest amount=10,875

P is the principal amount= 25000

r is the interest rate = r

t is the number of years = 15

Plug in all the value in the formula

I = P*r*t

10875 = 25000 * r * 15

10875 = 375000 * r

Divide both sides by 375000

r=0.029

We always write rate of interest in percentage so we multiply by 100

0.029 * 100= 2.9%

So interest rate = 2.9%



8 0
3 years ago
The height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height
uranmaximum [27]
A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm
3 0
3 years ago
If you answer this can you explain how you got that answer please and thank you
liberstina [14]

Answer:

.

Step-by-step explanation:

5 0
3 years ago
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