Square (second power, quadratic) - math word problems - page 146 of 149

Number of problems found: 2973

Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm.
Gold wire
From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm³?
Is right?
Is a triangle with sides 15, 66, and 68 right triangle?
Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not?
Kitchen
The kitchen roller has a diameter of 78 mm and a width of 315 mm. How many square millimeters roll on one turn?
Rectangles
How many rectangles with area 8855 cm² whose sides are natural numbers?
Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r₁=32 cm, r₂=47 cm, and its distance v=21 cm.
Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6.
Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm².
Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73.
Diamond
Find the side of the diamond if its area is S = 194 cm² and one diagonal u₂ = 44 cm.
Lead cube
Calculate the cube's edge made from lead, which weighs 14 kg. The density of lead is 11341 kg/m³.
Circle
How big is the area of a circle if its circumference is 51.2 cm?
Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.
Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 10 l if the container's height is equal to the base's diameter.
Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x₁ = 67 and x₂ = -84. Calculate the coefficients b and c.
ABS CN
Calculate the absolute value of the complex number -6+19i.

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