answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Greeley [361]
2 years ago
8

A sphere of radius 7 in. Is placed inside a rectangular prism with length 15 in., width 18 in., and height 20 in. What is the vo

lume of the prism not occupied by the sphere?
Mathematics
1 answer:
iragen [17]2 years ago
5 0

Answer:

3964 in³

Step-by-step explanation:

volume of sphere:  V = 4/3 πr³

v₁ = 4/3 x 3.14 x 7³ = 1436

volume of prism: v = Bh     B = 15 x 18 = 270    h = 20

v₂ = 270 x 20 = 5400

v₂ - v₁ = 5400 - 1436 = 3964 in³

You might be interested in
The expression 4\cdot3^t4⋅3 t 4, dot, 3, start superscript, t, end superscript gives the number of ducks living in Anoop's pond
Anastasy [175]

Answer:

There were 4 ducks living in Anoop's pond when he first built it.

Step-by-step explanation:

y e s

8 0
1 year ago
Read 2 more answers
Samara is adjusting a satellite because she finds it is not focusing the income radio waves perfectly. The shape of her satellit
gogolik [260]

Answer:

\boxed{\text{(6, 3)}}

Step-by-step explanation:

The conic form of the equation for a sideways parabola is

(y - k)² = 4p(x - h)

The focus is at (h + p, k)

The equation of Samara's parabola is

(y - 3)² = 8(x - 4)

h = 4

p = 8/4 = 2

k = 3

h + p = 6

So, the focus point of the satellite dish is at

\boxed{\textbf{(6, 3)}}

8 0
1 year ago
Divide 60 kg in the ratio of 5 : 7.
CaHeK987 [17]
The ratio can be written in parts as shown below;
\frac{5}{12} : \frac{7}{12}
Then, 60 can be divided as shown below;
\frac{5}{12} *60: \frac{7}{12} *60
25kg:35kg
6 0
2 years ago
Read 2 more answers
Please please please Factor 9x - 27xy
Kamila [148]

Common factor of 3x

3x ( 3x+9xy)( 1+0)

7 0
2 years ago
What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x

3 0
1 year ago
Other questions:
  • Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no
    13·1 answer
  • The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of
    6·2 answers
  • Which of the following pairs of functions are inverses of each other?
    15·2 answers
  • An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) an
    10·2 answers
  • Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius
    7·2 answers
  • A company surveyed 100 newer employees. These employees were chosen at random from the company's database, and only employees wi
    12·1 answer
  • Please help I don't understand this problem. I need to get this done by tonight.
    11·1 answer
  • [Q71 Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters g = 71 inch and 02 = 6
    11·1 answer
  • Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
    6·1 answer
  • Which series of transformations will not map figure H onto itself?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!