Unit conversion - math word problems - page 129 of 132

Number of problems found: 2622

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?
The angle of lines
Calculate the angle of two lines y=x-8 and y=+12
Minute angle
Find the size of the angle, which takes a minute hand for 30 minutes.
Clock
How long is the trajectory of the second hand of hours for day, if it is 15 mm long?
Earth parallel
Earth's radius is 6377 km long. Calculate the length parallel to latitude 75°.
Track arc
Two straight tracks are at an angle 126°. They will join with a circular arc with a radius r=1110 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)?
Tourist
Tourists walk at 4.2 km/h. Every 6 km has a 10-minute break. How many kilometers were walked when they started at 4:40 and finished at 21:40?
Train
The train passes part of the line for 55 minutes at a speed of 70 km/h. What speed would you have to go to shorten the driving time of 16 minutes?
Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 223 m of hot water pipelines 1" and the hot water has a price of 14.6 Eur/m³.
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.
Lead cube
Calculate the cube's edge made from lead, which weighs 14 kg. The density of lead is 11341 kg/m³.
Pump
What power does a pump output to move 1060 hl of water to a height of 43 m for 8 hours?
Fan
The fan has a speed of 217 RPM. Calculate for the time of one fan period.
Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope?
Trigonometry
If you know that cos(γ) = sin (806°), what is the angle γ?
Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
Glass of juice
The glass of juice-shaped cylinder 13 cm height and base diameter of 9 cm is filled with juice so that the level is 3 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow.
Chord MN
Chord MN of the circle has distance from the center circle S 28 cm. Angle MSN is 54°. Determine the radius of the circle.

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