Unit conversion - math word problems - page 133 of 135

Number of problems found: 2692

Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is 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 output must a pump have to raise 1060 hl of water to a height of 43 m in 8 hours?
Fan
A fan rotates at 217 RPM. Calculate the period of one rotation.
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
A cable car rises at an angle of 44° and connects the upper and lower stations with an altitude difference of 1089 m. How long is the continuous (endless) tow rope?
Trigonometry
Given that cos(γ) = sin(806°), find the angle γ.
Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower?
Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling.
Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle.
A trip to the Dry Peak
Calculate what percentage of the trip from Strečno to peak Suchý (Dry Peak) is longer than the descent back. The team of tourists (Palo, Peter, and Andrew) 's rise took 4:11 and descent 3:51.
Aquarium II
Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top.
Thrift woman
Calculate how long a grandmother must save to buy new shoes priced at 116 euros if she saves 2 EUR per month.
Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters?
Forest nursery
In a forest nursery, one borovice is planted per 2 m². Calculate how many plants are planted on an area of 510 hectares.
Pipe
Steel pipe has a length of 1.7 meters. About how many decimetres is 1/3 less than 8/9 of this steel pipe?
Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c
Descent of road
A road sign shows a gradient of 10.9%. Calculate the angle of inclination of the slope.
Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
Solid in water
The solid weighs in air 16.1 kg and in water 13 kg. Calculate the density of the solid.

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