All categories

3 years ago

A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of the spheres

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

1092π ft³

Step-by-step explanation:

The formula for the volume of a sphere is

V = ⁴/₃πr³

1. Volume of larger sphere

V₁ = ⁴/₃π (11)³ = ⁴/₃π × 1331 = 1774⅔π ft³

2. Volume of smaller sphere

V₂ = ⁴/₃π (8)³ = ⁴/₃π × 512 = 682⅔π ft³

3. Difference of volumes

V₁ - V₂ = 1774⅔π ft³ - 682⅔π ft³ = 1092π ft³ ≈ 3431 ft³

The difference of volumes of the spheres is 1092π ft³.

You might be interested in

Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number

monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{9}{15}$

$\text{Probability}=\dfrac{3}{5}$

$\text{Probability}=0.6$

Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0

2 years ago

Given m varies directly with n and m = 6 when n = 5. what is the value of n when m = 12?

Rashid [163]

Answer:

n = 10

Step-by-step explanation:

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 6 when n = 5

6 = 5k ( divide both sides by 5 )

k = $\frac{6}{5}$ = 1.2

m = 1.2n ← equation of variation

when m = 12 , then

12 = 1.2n ( divide both sides by 1.2 )

10 = n

7 0

2 years ago

Jacob opened a money-market account. In the first month, he made an initial deposit of $500, and

natima [27]

Answer:

after 13 months

Step-by-step explanation:

........ur welcome..........

1475-500=975

975÷75=13

so 13 months

6 0

3 years ago

Use the function f(x)=-1|x-4|+3 and an initial value of 1.5. Find the last two iterations and make sure that you show all your w

dezoksy [38]

9514 1404 393

Answer:

f²(1.5) = -0.5
f³(1.5) = -1.5

Step-by-step explanation:

$f^2(1.5)=f(f(1.5)) = -1|0.5 -4|+3\\\\=-1|-3.5|+3\\\\=-1(3.5)+3\\\\=\boxed{-0.5}\\\\f^3(1.5)=f(f^2(1.5))=-1|-0.5-4|+3\\\\=-1|-4.5|+3\\\\=-1(4.5)+3\\\\=\boxed{-1.5}$

6 0

2 years ago

if the value to the nearest thousandth, of cosO is -0.385, which of the following could be true about O? A. 0<O<pi/6 B. pi

Dimas [21]

Its the last choice there. Converting that to degrees you get the interval of 90<O<120, which is the only angle that lies in the quadrant in which cosine is negative, which is the second quadrant. Cosine is also negative in the third quadrant, but you don't have choices for the third quadrant.

4 0

3 years ago