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
Olin [163]
3 years ago
10

The ratio of volume of a cone and a hemisphere of same base radius and height is?

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.

With this information we can use the respective volume formulas.

Hemisphere:  \frac{2}{3}πr^3

Cone:  \frac{1}{3}πhr^2

Since h (height) = r we can say the cone volume equals:

\frac{1}{3}πr^3

Now to find the ratio we divide the cone volume equation by the hemisphere volume equation

pi and r^3 cancels out from the division and we are left with

ratio = (1/3)/(2/3)

ratio = 1/2

You might be interested in
Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded belo
Effectus [21]

Answer:

80%

Step-by-step explanation:

According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.

Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.

The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511

For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.

62072:  4 students sent the text, 1 did not

34570:  4 students sent the text, 1 did not

80983:  2 students sent the text, 3 did not

04292:  4 students sent the text, 1 did not

83150:   4 students sent the text, 1 did not

36330:  All 5 students sent the text

96268:  3 students sent the text, 2 did not

14077:   3 students sent the text, 2 did not

77985:  1 student sent the text, 4 did not

13511:    All 5 students sent the text

We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.

From the given groups, the number of groups where 3 or more students sent a text = 8

This represents our number of favorable or desired outcomes.

Total number of possible outcomes is the total number of groups = 10

Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data  the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = \frac{8}{10}=0.80=80\%

Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today

5 0
3 years ago
Read 2 more answers
7 x 7 using an exponent
andriy [413]

Answer:

7²

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help Edgar used 10d to represent the number of pennies in d dollars. Is this reasonable ? Please explain if it is right o
GalinKa [24]
Not reasonable, there are 100 pennies in a dollar so the actual equation is 100d
4 0
3 years ago
James had lunch at a local diner.He had two burgers and a soda.The soda cost $2.00.Sales tax was added to his meal at a rate of
diamong [38]

2 burgers and a soda the soda cost 2 dollars since sale tax was added to his meal at the rate of 10%  so 20 cents added 19.80 minus 2.20 (I cant think cause im being rushed lol) which equals 17.60 divided by 2 8.80 dollars each

3 0
3 years ago
Ansha drove 45 MPH (miles per hour). How far can she go in 3 hours?
aleksley [76]

Answer:

135 miles.

Step-by-step explanation:

45 x 3= 135

6 0
3 years ago
Read 2 more answers
Other questions:
  • diana is earning money by mowing lawns. she charges $15 per yard. lawn mower rental costs $30. what is the minimum amount of yar
    6·2 answers
  • I know I'm asking a lot but could someone please do this sheet for me I'm really behind on homework
    5·1 answer
  • A board game has 25 cards. Each card is printed with a number from 1 through 25. Sameer shuffled the cards, and then selected 1
    10·2 answers
  • Find the quotient of 675 and 5
    6·1 answer
  • When will the equation p(b)=520(0.88)^b have a value less than 100?
    13·1 answer
  • What is the value of a+1/a? when 5+5/a=10
    13·1 answer
  • Please help! Will give branliest for correct answer ! <br> God Bless uu!!
    15·2 answers
  • Y(0.5+2) please help me on this !!!
    15·1 answer
  • Write a graph an inequality to represent each situation:the temperature today will be at least 10 degrees
    10·1 answer
  • What is the area of a triangle with a base of 14. 5 cm and a height of 7. 1 cm?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!