Square root - math word problems - page 67 of 71
Number of problems found: 1402
- Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen? - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Right triangle
Right triangle ABC has side a = 10 and area S = 50. Calculate the lengths of the remaining sides. - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of g = 9.81 m/s². - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Wiring
A conduit has a cross-section of 54 mm². Is it possible to fit 6 conductors each with a cross-section of 6.7 mm² inside it? - Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Sea
How far can you see from the top of a ship's mast that is 9 metres above sea level? (The Earth's radius is 6370 km km.) - Equation
Equation f(x) = 0 has roots x1 = 25, x2 = 64, x3 = 9. How many roots have equation f(x²) = 0? - Power
Number left(sqrt(16 * sqrt[ 7 ] (16)) right) 19 can be written in the form 16^x. Find the value of x. - Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles? - Estate
An estate has the shape of a right-angled trapezoid with parallel sides of 35 m and 65 m, and a perpendicular leg of 34 m. Calculate the total length of its fence. - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - Circumscription
Calculate the radius of the circumscribed circle of a rectangle with sides 3 and 6. Can a circle be inscribed in a rectangle? - Circles 2
Calculate the area of the region between the circumscribed circle and the inscribed circle of a triangle with sides 29 cm, 16 cm, and 21 cm. - Square
Calculate the area of a square with diagonal 17 cm. - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density?
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