Isolating a variable in the formula - math word problems - page 46 of 145

Number of problems found: 2883

Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has
Together 46221
Jeníček and Ferek brigade together. They divided the work in a ratio of 4:6. Ferko was paid 24 euros. How many euros did they earn together?
Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long.
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
Cylinder 46101
Barell has a cylinder shape, a volume of 130 l, and a base radius of 30 cm. What is the height of the barrel?
One-quarter 46001
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.
Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm.
Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other?
Coefficient 45821
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.
Corresponding 45611
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.
Approaches 45521
The observer lies on the ground at a distance of 20m from a hunting lodge 5m 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 5m?
Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
30-meter 45481
The 30-meter tree broke. Its top fell 5m 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 10cm.
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.
Perimeter 45121
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.

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