Expression of a variable from the formula - practice for 13 year olds - last page
Number of problems found: 1138
- Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Radius
Determine the circle's radius if its perimeter and area are the same numbers.
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm. - Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm. - Pipe
How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color? 1 kg of color coverage is 6 m². - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π.
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Cap
A rotating cone shapes a jesters hat. Calculate how much paper is needed for the cap 54 cm high when the head circumference is 47 cm. - Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Sphere A2V
The surface of the sphere is 241 mm². What is its volume? - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
- Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Crossroads
A passenger car and an ambulance come to the rectangular crossroad, and the ambulance leaves. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate the relative speed of the ambulance moving to the car. - Right triangle
Calculate the missing side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
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