Rearrange variables - math word problems - page 47 of 147

Number of problems found: 2922

The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate
Barrel height
Barell has a cylinder shape, a volume of 130 l, and a base radius of 30 cm. What is the height of the barrel?
Sphere surface
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm.
Sphere radius
Calculate the radius of a sphere with the same volume as a cone with a base radius of 5 cm and a height of 7 cm.
Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other?
Turn radius
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4.
Prism height
The volume of the triangular prism is 200 dm³, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism.
Lodge view angle
The observer lies on the ground at a distance of 20 m from a hunting lodge 5 m high. A) At what angle of view does the posed see? B) How much does the angle of view change if it approaches the sitting by 5 m?
Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9 cm.
Tree breaking height
The 30-meter tree broke. Its top fell 5 m from the trunk. At what level did it break?
Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m³, and the bases' radii are 4 m and 3 m. Find the tank's depth.
The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10 cm.
The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
The diamond
The diamond has an area S = 120 cm², and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.
Diamond height perimeter
The diamond has an area of 36.9 cm² and a side length of 9 cm. a) How many cm does the height of the diamond measure? b) Calculate the perimeter of the diamond.
Quadrilateral sides
What is the perimeter of a quadrilateral whose first side is 3 cm longer than the second side, the third side is 5 cm shorter than the fourth side, and the second side is 2 cm shorter than the fourth side?
Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same?
Bulb voltage current
The bulb's resistance at a power input of 40 W is 10 Ω. To what voltage source is it connected? How much current is flowing through it?
The collector
Harry liked to collect old movies. On four different days, he bought two movies each day. On two other days, he purchased three movies each day. After that, he sold two sets of 2 movies. He then divided his total collection into two equal groups to put on
Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm³, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.

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