Circle + volume - math problems

Number of problems found: 77

  • The volleyball ball
    volejball The volleyball ball can have a circumference after inflation of at least 650 max 750 mm. What volume of air can this ball hold, if its circumference is the average of the minimum and maximum inflation of the ball.
  • Top-open tank
    vedro The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m3, the radii of the bases are 4 m and 3 m. Find the depth of the tank.
  • Metal balls
    three_circles_inside_one Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
  • I need
    valec2 I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm3. What is the formula for this?
  • Largest possible cone
    cone-upside It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, 7.2 cm. a) Calculate its volume. b) Calculate the waste.
  • The resistance
    resistor What is the resistance of an aluminum wire 0.2 km long and 10 mm in diameter?
  • Copper winding
    ohms-law Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
  • From plasticine
    kuzel Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?
  • Two vases
    komolykuzel 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
  • 9-gon pyramid
    9gon+Base+cone Calculate the volume and the surface of a nine-sided pyramid, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
  • Maximum of volume
    kuzel2 The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
  • Surface and volume
    kuzel2 Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
  • Sphere parts, segment
    gulovy_odsek A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. .What are the volume of the segment and the surface of the segment?
  • Sandbox
    sand How much cubic meters of sand is needed to fill the sandbox on the field if it has the shape of a circle with a diameter of 3 m and is 25 cm deep?
  • Surface and volume
    cylinder Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm  
  • Cylindrical tank
    sudy 9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
  • Truncated cone 6
    frustum-of-a-right-circular-cone Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
  • Pentagonal prism
    penta-prism The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism.
  • What is bigger?
    ball_f Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm?
  • Tunnel boring
    tunnel How much material did they dig when cutting the 400m long tunnel? The content of the circular segment, which is the cross section of the tunnel is 62m2.

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