1answer.
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
quester [9]
1 year ago
11

Please help with all of question 5 ​

Mathematics
1 answer:
musickatia [10]1 year ago
7 0

Volume of a right cone with base radius r cm and height h cm :

V = 1/3 π r² h cm³

Surface area :

A = (π r² + π r √(h² + r²)) cm²

Volume of a sphere with radius r cm :

V = 4/3 π r³ cm³

Surface area :

A = 4 π r² cm²

Volume of a cuboid with dimensions r cm × r cm × h cm :

V = r² h cm³

Surface area :

A = 2 r² + 4 r h

a. If the cone and sphere have the same volume, then

1/3 π r² h = 4/3 π r³   ⇒   h = 4r

b. If the area of the cuboid is 98 cm², then

2 r² + 4 r h = 98   ⇒   r (r + 2 h) = 49

c. Since h = 4r, substituting this into the equation from (b) gives

r (r + 8 r) = 9 r² = 49   ⇒   r² = 49/9   ⇒   r = 7/3

d. With r = 7/3, we have

h = 4 × 7/3 = 28/3

and so the volume of the cuboid is

V = (7/3 cm)² (28/3 cm) = 1372/27 cm³

You might be interested in
Two numbers total 10, and there difference is 12. Find a smaller of the two numbers.
Olenka [21]

Answer:

There doesn't seem to be numbers to answer that, do you have the question right? If it was a difference of 18, for example, the numbers would be 64 and 36.

Step-by-step explanation:

Find 2 numbers that added together, equal 10.

91

82

73

64

55

46

37

28

19

Then subtract them by their opposites. Find the numbers with the difference of 12.

91 - 19 = 72

82 -  28 = 54

73 - 37 = 36

64 - 46 = 18

55 - 55 = 0

46 - 64 = -18

37 - 73 = -36

28 - 82 = -54

19 - 91 = -72

There is no numbers with the difference of 12.

If it was a difference of 18, for example, the numbers would be 64 and 36.

7 0
3 years ago
A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000
Alja [10]

Answer:

1500 students

Step-by-step explanation:

To do this you must figure how many people the university accepts by times the no. of students applying by the percentage that are accepted

10,000 X 60% = 6000 students

You then figure out the number of students that actually enrols by doing

no. of students accepted X 25%

6000 X 25% = 1500 students

6 0
3 years ago
I need how with plz
omeli [17]

Answer:

165 degrees

Step-by-step explanation:

According to the protractor, the angle stretches from 10 degrees to 175 degrees. Subtract 10 from 175 to get the total measurement, and you will get 165. The angle is 165 degrees.

6 0
3 years ago
Read 2 more answers
This is urgent I need help!
Nata [24]

Answer:

Step-by-step explanation:

1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.

(9*25)+4+(2*4)=237 (total number of people going to the museum

Each bus,excluding the driver,holds 44 people

237/44 = 5.3863636363.......

2. How many buses will be needed?

 6 buses are needed

3. Why must the answer to the problem be a whole number?

Buses cannot be divided in fractions It should be or 5 buse or 6

But 5 buses are not enough

4. Why shouldn't you round the answer the usual way?

Even when rounded it is still a decimal and buses need to be counted by whole number

5. Can your answer be classified as a rational number? Explain why or why not.

6 is a rational number (whole number)

5.38636363.......is rational ( repeating decimal

8 0
3 years ago
Find the volume of the figure of 7 inches, 21 inches and 15 inches.
AfilCa [17]

Answer:

2,205 cubic inches

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Two identical number cubes are shown in the picture above. The edge length of these number cubes is 7 centimeters.
    5·1 answer
  • The sides of a rectangle are proportional to each other in a 2/3 ratio. Which of the following could be the ratio of a rectangle
    11·1 answer
  • Find the point on the y-axis that is equidistant from the points (-3,0) and (3,6).
    5·2 answers
  • NEED HELP!! 25 POINTSS!!!
    15·1 answer
  • How to express cos 3x in terms of cosx
    12·1 answer
  • Each tub of yogurt contains 1.85g of fat. The company would like to reduce this amount by 15%, but instead of changing the yogur
    9·1 answer
  • Three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of rib
    15·1 answer
  • ASAP simplify 2(3^5)/ 3 ^-2​
    14·1 answer
  • Solve this system of equations <br> y=x-4<br> y=6x-10
    12·2 answers
  • Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!