Circle practice problems - page 21 of 50
Number of problems found: 989
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
- Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter?
- Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0
- Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3.
- Half-cylinder-shaped 31491
How many cubic meters of air is in an empty half-cylinder-shaped aircraft hangar if the hall is 30 m long and 12 m high at the highest point?
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Circumference 27161
Sketch the cone mesh and add the side length, the arc length of the circle, and the circle length to it, if you know: the side length of the cone: s = 51.9 cm cone base circumference = O = 151 mm.
- Determine 10561
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. If the nickel density is 9000 kg/m3, determine its weight.
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
- Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level?
- Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both
- Calculate 19433
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface.
- Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius.
- Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r.
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Equator 6020
The Equator. ..40075 km train. ..300m. How many trains would fit on the Equator?
- Cone base
Calculate the circumference of the cone base; round the result to millimeters. If you know: radius 24 mm and height 46 mm.
- Calculate
The circumference of the ball is o = 87 cm. Calculate its volume. Express the result in liters and round to the nearest whole number.
- Circumference 64994
Calculate the volume of the cylinder if the circumference of the base o = 31.4 cm, height v = 6.4 cm
- The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the bridge's center so it does not fly off t
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