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The area of a shadow grows at a rate of 1.94 ft2/h. Determine the growth rate of this area in cm/s. (Use the conversion factor 1 m = 3.281 ft)
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- The area of a shadow grows at a rate of 3.65 cm2/s. Determine the growth rate of this area in ft2/h. (Use the conversion factor 1 m = 3.281 ft)Hydraulic engineers in the United States often use, as a units of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre (where 1 acre = 43560 ft2) of land to a depth of 1 ft. A severe thunderstorm dumped 2.9 in. of rain in 30 min on a town of area 36 km2. What volume of water, in acre-feet, fell on the town?Express the answer in scientific notation. A granite countertop measuring 5.69 m long by 0.57 m wide by 2.5 cm thick is being installed in a kitchen. What is the mass of this countertop in kg? (SGgranite = 2.75) The mass of the countertop is ? × 10 kg.
- A heavy rainstorm dumps 1.0 cm of rain on a city 4 km wide and 7 km long in a 2-h period.How many metric tons (1 metricton = 103 kg ) of water fell on the city? (1 cm3 of water has a mass of 1 gram = 10-3 kg .) Express your answer using one significant figure.Water evaporates from a swimming pool at an approximately constant rate of 35 gallons of water for a pool with a surface area of 100 square feet to 70 gallons for a pool with a surface area of 400 square feet. (a) What is the evaporation rate per square foot of surface area (in gal/ft2)? Round to the nearest hundredth. gal/ft2 (b) How many gallons of water will evaporate from a pool of 200 square feet? Round to the nearest gallon. gal(a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression =Bh₁ V = where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft²) www 2070194.33 X The conversion factor between feet and meters is 1 m = 3.28 ft. m³ (b) What If? If the height of the pyramid were increased to 505 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? 11.72 X %
- A paint can has 0.776 U.S. gallons of paint. If this paint is used to coat a wall evenly (wall area = 15.3 m^2), how thick is the layer of wet paint? Give your answer in millimeters. Assume that the dry paint has the same volume as the wet paint.Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumped 2.0 in. of rain in 30 min on a town of area 26 km2.What volume of water, in acre-feet, fell on the town?A solid piece of lead has a mass of 29.94 g and a volume of 2.63 cm3. From these data, calculate the density of lead in SI units (kilograms per cubic meter).
- An open metal bucket is in the form of a frustum cone with a height of 21 cm and a radii of its lower and upper ends as 10 cm and 20 cm, respectively. Find the volume of the bucket in liters (L) Using the formula:1.047h(R^2=r^2=Rr) and the conversion factor:1cm^3 = 1mL . Remember to label your units, round to the nearest thousandths place.Suppose 2.5 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick and that each molecule occupies a cube 0.50 μm�m on a side. Express your answer in meters squared.One gallon of paint (volume = 3.78×10−3m^3.) covers an area of 25.0 m^2. What is the thickness of the fresh paint on the wall?