Physical quantity - math word problems - page 246 of 343
Number of problems found: 6855
- RPM
An electric motor makes 3,000 revolutions per minute. How many degrees does it rotate in one second?
- Resistivity 80483
The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made.
- Gravitational 2137
The whale, weighing 8 tons, was thrown aground by the sea. The whale is approximately 20 m long and 2 m wide. Estimate the pressure under the belly of a whale. Consider a value of the gravitational acceleration of 10 N/kg.
- Triangular 8227
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting?
- Dimensions 3985
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How many hectoliters of water are in it? How many m² of the tank is soaked with water?
- Two-thirds 3388
The kneaded cake dough has a volume of 1.8 l. When baking, it increases its volume by about two-thirds. Can a baked wheel fit on a baking sheet measuring 36x30x8cm? How tall will the cake be after baking?
- Dimensions 65094
The whirlpool has external dimensions of 2.29, 2.29 m, and 91 cm. The useful volume of water in it is 1514 liters. What volume of the whirlpool falls on the other parts?
- Cylindrical 7891
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm?
- Block-shaped 5556
Excavated soil increases the pile's volume by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool?
- Dimensions 3073
The room has 4m, 5m, and 2.4m dimensions. How many cans of paint are needed to paint the walls and ceiling of this room? If one can, is it enough for ten m²?
- Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
- Density of a cube
Calculate the density of a cube if the height is 8 cm and the mass of the cube is 3 kg.
- Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm if ρ = 8.9 g/cm³?
- Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it?
- Rotating cone
How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times
- Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=19 cm, r2 = 11 cm, and height v = 5 cm.
- Decorations - spherical
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m²
- Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo
- Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm?
- The tempture
The temperature increased 13°F between 6 AM and 3 PM. The temperature at 3 PM was 70°F. What was the temperature at 6 AM?
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