Lathe

Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.

Correct result:

p =  21.5 %

Solution:

p=100%V1V2V1=100%533π532453533=100(1π4)=21.5%p = 100\% \cdot \dfrac{ V_1-V_2}{ V_1} = 100\% \cdot \dfrac{ 53^3-\pi \dfrac{ 53^2}{4} \cdot 53 }{ 53^3} = 100 \cdot (1- \dfrac{ \pi}{4} ) = 21.5 \%



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Check out our ratio calculator.
Tip: Our volume units converter will help you with the conversion of volume units.

Next similar math problems:

  • The notebook
    notes After rising by 40%, the notebook cost 10.50 euros. How much did this notebook cost if it increased in price by only 20% instead of 40%?
  • Seasonal sale
    bicycle_gears The bike became cheaper on the seasonal sale by 22%, which is 88 euros. At what price is it sold now?
  • Clothes
    sveter CZK 2,400 cost clothes, a sweater by 150% than a T-shirt, trousers 2x more than a sweater, a jacket as a sweater and trousers together. What did the individual clothes cost?
  • Three groups
    workers_2 In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary
  • Two shops
    ski_1 In two different shops, the same skis had the same price. In the first, however, they first became more expensive by 20% and then cheaper by 5%. In the second, they were first cheaper by 5% and then more expensive by 30%, so after these adjustments in the
  • Tulips
    tulipany Of the 120 tulips in the garden, 45 are red, 66 are yellow, the rest are brindle. What percentage of tulips in the garden are brindle?
  • Fresh juice
    flasa The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells it in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the ju
  • Original plan
    zahrada Gardeners planted 16% more currant bushes than originally planned. In total, they planted x = 435 shrubs. What was the original plan?
  • Three colors
    balls2 Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
  • The recommended
    books The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). For the recommended price, he sold 55 pieces of
  • Decibel
    tv_1 By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
  • The hockey
    hokej The hockey player scored 6 goals from 15 shots. How many % was he successful?
  • Ace or king
    cards What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
  • Natural fertilizer
    garden_1 The rectangular garden measuring 120m and 60m was fertilized with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m2 of garden?
  • The water barrel
    sud_h2o_2 The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
  • Skis
    ski Skis, which cost € 800, became 25% more expensive before the season. After the season, they became cheaper again by 25%. How many euros did the skis cost after the discount?
  • Students
    test Students solve word problems. They received 3 points for each correctly solved task. Four points were deducted for a task that was not solved or incorrectly solved. Tomas solved a total of 15 tasks and scored 24 points. How many tasks did he solve correct