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?

Correct answer:

x =  6433.5026 Kc

Step-by-step explanation:

$$\begin{gathered} D=6\text{ m } \\ r=D\mathrm{/}2=6\mathrm{/}2=3\text{ m } \\ h=2.5\text{ m } \\ s=\sqrt{r^2+h^2}=\sqrt{3^2+2.5^2}\doteq 3.9051\text{ m } \\ S=\pi \cdot r\cdot s=3.1416\cdot 3\cdot 3.9051\doteq 36.8049{\text{m}}^2 \\ x=152\cdot 1.15\cdot S=152\cdot 1.15\cdot 36.8049=6433.5026\text{ Kc} \end{gathered}$$

Try another example

Related math problems and questions:

• Roof cover
  Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.
• Top of the tower
  The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m, the pyramid height is 1.6 m. How many square meters of sheet metal is needed to cover the top of the tower if 15% extra sheet metal is needed for joint
• The roof of the church
  The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?) and many sheets sheet will be needed to cover the church roof?
• Cone roof
  How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays.
• The room
  The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (a floor is not painted) if the window and door area is 15% of the total area and 1m² cost 15 euro.
• How many
  How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters if we count 8% of the material for bending and waste?
• The roof
  The roof of the tower has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long and the side wall of the animal with the base an angle of 57°. Calculate how much roofing we need to cover the entire roof, if we count on 15% waste
• Bathroom
  How many CZK do we pay for lining the perimeter walls of the bathroom with rectangular shape with dimensions 3.5 m and 4 m, high 1.5 m if 1 square m tile cost 300 CZK?
• Carpet
  How many crowns CZK do we pay for a carpet for a bedroom, when 1m of square carpet costs 350 CZK and the bedroom has dimensions of 4m and 6m? How many crowns do we pay for a strip around the carpet, when 1m of the strip costs 15 CZK?
• The roof
  The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues.
• The conical roof
  The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed for the production of this roof, if the seams and waste requir
• The rotating
  The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
• Rectangular base pyramid
  Calculate an area of the shell of the pyramid with a rectangular base of 2.8 m and 1.4 m and height 2.5 meters.
• The kitchen
  The kitchen has the shape of a square with a side of 5 m. We place linoleum on the floor, the price of which is 450 CZK per 1 m². The glue costs 750 CZK. How much do we pay in total?
• The tent
  The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m² of cloth we need to make the tent if we have to add 7% of the seams? How many m³ of air will be in the tent?
• Truncated cone 3
  The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, find the height of the tang.
• Roof 7
  The roof has the shape of a regular quadrangular pyramid with a base edge of 12 m and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m² of plate?