# Castle model

The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm.
a) What is the roof volume?
b) How many dm2 of wallpaper is used to glue the roof, ie the cone shell?
c) What is the weight of the roof if it is made of wood with a density of 0.56 g/cm3?
They were rounded to tenths of a kilogram.

Correct result:

V =  27482.6525 cm3
S =  38.1704 dm2
m =  15.4 kg

#### Solution: We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

## Next similar math problems:

• Cone from cube The largest possible cone was turned from a 20 cm high wooden cube. Calculate its weight if you know that the density of wood was 850 kg/m3
• Tower model Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi
• Cuboid 5 Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m3).
• Wood prisms How many weight 25 prisms with dimensions 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
• Cone - side Find the surface area and volume of the cone if its height is 125 mm and the side length is 17 cm.
• Canopy Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?
• Sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Rotating cone Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
• Cone - from volume surface area The volume of the rotating cone is 1,018.87 dm3, its height is 120 cm. What is the surface area of the cone?
• Truncated cone A truncated cone has a bases radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume.
• Density of the concrete Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
• Rotating cone Find the surface and volume of the rotating cone if its side is 150 mm long and the circumference of the base is 43.96 cm.
• Gravel - cone The mound of gravel has a regular circular cone shape with a height 3.3 meter and a base circumference of 18.85 meters. How many cubic meters of gravel is in a pile? Calculate the weight of gravel if its density is p = 640 kg / cubic m.
• Wall thickness The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm3.
• Wood cuboid What is the weight of the wood cuboid 15 cm, 20 cm, 3 m if 1 m3 wood weighs 800 kg?
• Area of the cone Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm.
• Cone Calculate volume and surface area of ​​the cone with a diameter of the base d=15 cm and side of the cone with the base has angle 52°.