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
Anna007 [38]
4 years ago
5

A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches

surmounted by a hemispherical top of a radius 2 inches.
a.) Compute the volume of milkshake that it contains

b.) Compute the surface area of the container
Mathematics
1 answer:
krok68 [10]4 years ago
8 0

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.

You might be interested in
chi has a big pile of nickels. he says, "even if I use 100 of these nickels, I'll still have 95% of my original pile." how many
Bond [772]
Chi would have two thousand nickels because if 100 nickels is 5% and 100 divided 5 is 20 so a 100 times 20 is 2000
3 0
3 years ago
100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
3 years ago
What is 1/5 of 30????
igor_vitrenko [27]
1/5 of 30 is 6!
In order to find this you do
1/5 x 30
Answer: 6
5 0
3 years ago
Read 2 more answers
Can you solve it, please
weeeeeb [17]

Answer:20

Step-by-step explanation:

3.1 *4.2=13.02 12.4*21=260.4 260.4/13.02=20

8 0
2 years ago
Read 2 more answers
You have two gifts to buy. You plan to spend no more than $40 on the two gifts combined. You want to spend at least twice as muc
belka [17]

Answer:

If you want to spend no less than $40, and you want to spend twice as much on the first gift (gift x), you can spend $26 on gift x. On the second gift (gift y), you can spend $13. You will spend a total of $39 on both gifts which is less than $40 and have spend twice as much on the first gift as you did the second ($13 x 2= $26).

5 0
3 years ago
Other questions:
  • Brooke has set up 70 chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the po
    12·1 answer
  • Passes through (1,9), slope = 2
    7·1 answer
  • Jenny is buying gifts for her family. So far she has spent $45.95, and she has one more gift to buy. She started with a total of
    13·2 answers
  • On a road trip, Yousef drove the same distance everyday for 8 days. On the ninth day, he drove 100 km. He drove a total of
    15·1 answer
  • PLEASE HELP I WILL GIVE 25 POINTS AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY! John is making baked goods for a party. He can ei
    12·1 answer
  • Rewrite 3,000,000,000 as an expression with the power of 10
    5·1 answer
  • Miranda le debe $120.00 a max .Le paga 30% de lo que le debe ¿cuanto le falta pagarle?
    7·2 answers
  • -12 (-5/6) (-2/15) How do I solve this question I am stuck on an assignment
    13·1 answer
  • Hey can someone please help me!
    7·2 answers
  • Divide.<br><br> 24.7 ÷ 5.2 Enter your answer in the box.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!