Church roof 2

The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How many monez (CZK) will cost the roof cover sheet if 1 m2 of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays and waste?

Result

x =  6433.503 Kc

Solution:

D=6 r=D/2=6/2=3 h=2.5 s=r2+h2=32+2.52≐3.9051 S=π⋅ r⋅ s=3.1416⋅ 3⋅ 3.9051≐36.8049 x=152⋅ 1.15⋅ S=152⋅ 1.15⋅ 36.8049≐6433.5026≐6433.503 KcD=6 \ \\ r=D/2=6/2=3 \ \\ h=2.5 \ \\ s=\sqrt{ r^2+h^2 }=\sqrt{ 3^2+2.5^2 } \doteq 3.9051 \ \\ S=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 3 \cdot \ 3.9051 \doteq 36.8049 \ \\ x=152 \cdot \ 1.15 \cdot \ S=152 \cdot \ 1.15 \cdot \ 36.8049 \doteq 6433.5026 \doteq 6433.503 \ \text{Kc}

Try another example


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!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Pythagorean theorem is the base for the right triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Persons
    ball1_6 Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
  2. Socks
    sleva_2 One pair of socks worth CZK 27. Set of 3 pairs of these socks are sold with 10% discount. How many we will pay CZK for two offered sets of socks?
  3. The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  4. Profit gain
    percent_12 If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
  5. Washing mashine
    pracka_2 Family buy a washing machine for 350e. Cash paid 280e. What percentage of the total price must still pay the washer?
  6. Two accounts
    bank A banker divided $5000 between 2 accounts, one paying 10% annual interest and the second paying 8% annual interest. Express the amount invested in the 10% account in the terms of the amount invested in the 8% account.
  7. Spending
    usd_5 If spends 25% of my net pay of $922.28 on entertainment. How much money is that?
  8. Commission
    sale_2 Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for 293.00$ how much money does Daniel make in commission?
  9. Real estate 2
    penize_49 A real estate agent sold a lot for Php.550,000. If his agency pays at 10% commission, how much commission will he or she receive?
  10. Highway repair
    truck_6 The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
  11. Summerjob
    tree2 The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
  12. Trip to a city
    vylet Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?
  13. Savings and retirement
    babky_1 The older sibling has saved 44% more euros than the youngest, which represents 22 euros. How many euros older brother has saved ?
  14. Chocolate
    percent Chocolate, which originally cost 1.5 euros, was increased by 40%. How many euros did it cost?
  15. The sales
    chocholate_5 The sales tax rate is 4.447​% for the city and 4​% for the state. Find the total amount paid for 2 boxes of chocolates at ​$17.96 each.
  16. Reward
    metals Janko and Peter divided the reward from the brigade so that Peter got 5/8 of the reward. What percentage of Janko's reward got?
  17. Frameworks is bad
    space Calculate how many percent will increase the length of an HTML document, if any ASCII character unnecessarily encoded as hexadecimal HTML entity composed of six characters (ampersand, grid #, x, two hex digits and the semicolon). Ie. space as: