Ratio of volumes

If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?

Correct result:

p =  14:9

Solution:

p1=78=0.875 p2=431.3333  p1=h1:h2 p2=r1:r2  V1=πr12 h1 V2=πr22 h2  V1=π (p2 r2)2 (p1 h2) V1=π p22 r22 p1 h2=p22 p1 V2   p=V1/V2  p=p22 p1=1.33332 0.875=1491.5556=14:9



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.

 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Equilateral cone
    kuzel_rs We pour so much water into a container that has the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
  • Mixing 5
    milk Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid
  • Final exam
    vysvedcenie At the final exam, the student answers from three areas, which are evaluated in a ratio of 1: 2: 2. What grade will John receive if he answered as follows: 3,1,2.
  • The plan
    city The plan of the housing estate is in three scales 1: 5000,1: 10000,1: 15000. The distance between two points on a plan with a scale of 1: 10000 is 12 cm. What is this distance on the other two plans? What is this distance?
  • Coins
    mince_1 The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money?
  • Twice of radius
    gule How many times does the surface of a sphere decrease if we reduce its radius twice?
  • Divide in ratio
    lines_2 Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
  • Ratio
    maliny Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.
  • Summands
    numbers_2 We want to split the number 110 into three summands so that the first and the second summand are in the ratio 4: 5, and the third with the first are in ratio 7: 3. Calculate the smallest of the summands.
  • Two ribbons
    meter_1 The total length of two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon.
  • Can of
    tenis Can of tennis balls contains 3 balls per can and cost $7 how much will it cost for 36 tennis balls?
  • Adding mixed 4
    fractions 2 and 1 8th plus 1 and 1 3rd =
  • Similar triangles
    triangles_1 In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D´E´F´ is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D´E´F´ if the similarity coefficient is one-seventh.
  • How many 3
    tv_1 How many hours the Andersons watched TV in all Wednesday 3/1 hr Thursdays 2/3 hr Friday 4/5 hr Saturday 3/4 hr
  • Semicircle
    semicircles_rect Calculate the length of a semicircle with a radius of 6cm.
  • Pizza palace
    pizza_1 Josh is at Enzo's pizza palace. He can sit at a table with 5 of his friends or at a different table with seven of his friends. The same size pizza is shared equally among the people at each table. At which table should Josh sit to get more pizza? (write a
  • The tourist
    tourist The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he walk in three days?