The conical

The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm ^ 3 of wax was needed to make it?

Correct answer:

V =  2.9619 dm³

Step-by-step explanation:

$$\begin{gathered} D=20\text{ cm } \\ s=30\text{ cm } \\ r=D\mathrm{/}2=20\mathrm{/}2=10\text{ cm } \\ h=\sqrt{s^2-r^2}=\sqrt{30^2-10^2}=20\sqrt{2}\text{ cm}\doteq 28.2843\text{ cm } \\ {V}_1={\displaystyle \frac{1}{3}}\cdot \pi \cdot r^2\cdot h={\displaystyle \frac{1}{3}}\cdot 3.1416\cdot 10^2\cdot 28.2843\doteq 2961.922{\text{cm}}^3 \\ V=V_1\to {\text{dm}}^3=V_1\mathrm{/}1000{\text{dm}}^3=2961.922\mathrm{/}1000{\text{dm}}^3=2.962{\text{dm}}^3=2.9619{\text{dm}}^3 \end{gathered}$$

Try another example

Related math problems and questions:

• The base 2
  The base diameter of a right cone is 16cm and it's slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, convert to 3 significant figure. Take pi =3.14
• Cone
  Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• 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°.
• Lamp cone
  Calculate the surface of a lampshade shaped of a rotary truncated cone with a base diameter of 32 cm and 12 cm and height of 24 cm.
• Cone - side
  Find the cone's surface area and volume if its height is 125 mm and the side length is 17 cm.
• Cone - from volume surface area
  The volume of the rotating cone is 1,018.87 dm³, and its height is 120 cm. What is the surface area of the cone?
• The Indian tent
  The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire?
• Pile of sand
  A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand.
• 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)
• Wooden bowls
  20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
• The cone
  The cone with a base radius of 12 cm and a height of 20 cm was truncated at a distance of 6 cm from the base, thus creating a truncated cone. Find the radius of the base of the truncated cone.
• The cone - S,V
  Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• 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.
• Two vases
  Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and with the diameter of the upper base d2 = 15 cm. Which vas
• Lampshade
  The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when we 10% is waste?
• Body diagonal
  Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
• Slant height
  The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone.