Physical quantity - math word problems - page 293 of 342
Number of problems found: 6831
- Cylinder - A&V
The cylinder has a volume of 463. The base has a radius of 4. What is the area of the cylinder's surface?
- Students 22293
Eight pupils modified the school plot in 2 hours. How many students do we have to send to modify the school grounds if we do not want to exceed the 1.5-hour limit?
- Minutes 3475
A scribe with an average speed of 250 strokes per minute would write text in 16 minutes. How many minutes longer would she write the exact text at an average rate of 200 beats per minute?
- Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap).
- Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times?
- Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated?
- Dimensions 31751
The freezer box has internal dimensions of 900 mm, 0.75 m, and 6 dm. 30% of the space is filled with frozen peppers packed in boxes measuring 150mm, 100mm, and 50mm. How many boxes are in the box?
- Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point
- Barrel 2
The empty barrel weighs 7 kg. When it is filled with water up to 45% height, it weighs 60 kg. How heavy is a barrel full of water?
- Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level.
- Penny free fall
A man drops a penny from the top of a 500m tall building. After t seconds, the penny has fallen a distance of s meters, where s(t)=500-5t². Determine the average velocity between 1s and 5s.
- Science experiment
During a Science experiment, a liquid was heated at the rate of 8 degrees Celsius per minute for 10 minutes. It was then allowed to lose heat at 6 degrees Celsius per minute. If the final temperature was 76 degrees Celsius, what was its temperature 16 min
- Assembly parts
Nine machines produce 1,800 parts on nine machines. How many hours will it produce 2 100 parts on seven such machines?
- The position
The displacement function S=t³-2t²-4t-8 gives the position of a body at any time t. Find its acceleration at each instant time when the velocity is zero.
- Coolant
The driver filled the car coolant with a mixture of 3.9 liters and 2.6 liters of water antifreeze coolant. At what rate are these two components mixed?
- Simple interest 2
Find the simple interest if 16050 USD at 4.9% for 9 months.
- Car - simple
The car is traveling at 77 km per hour. How long is the distance it can travel in 1 minute?
- Deposited 83235
A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?
- Deposited 66604
The parents deposited 2,000 euros in Vierka's daughter's account at an annual interest rate of 2%. If the bank adds interest, how many euros will be in the account in a year?
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