A 2-meter high cylindrical tank with a diameter of 2m is filled with 1.5m water. Solve the volume of water that remained in the tank if the height of the water in the middle is zero during rotation. O 3.14m^3 O 4.29m^3 O 3.90m^3 O 4.71m^3
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- Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.mass (g) diameter (cm) height (cm) volume (cm^3) 16.20 1.21 5.30 ? 43.98 1.80 6.41 ? 79.49 2.11 8.49 ? 139.1 2.59 9.69 ? 1. The slope of your line is the density of the material of which your cylinders are made. What is this value, including units? 2. Table 2 contains a list of materials, along with their densities/ Based on your value in Question 1, what is your cylinder material? Material Density (g/cm^3) maple 0.77 polypropylene 0.90 polystyrene 1.03 polyamide 1.15 acrylic 1.17 polyurethane 1.23 phenolic 1.32 polyvinylchloride 1.37 poly tetrafluoroethylene (teflon) 2.20 aluminum 2.71Question 6: Suppose you have a coffee mug with a circular cross-section and vertical sides. What is its inside radius in cm if it holds 375 g of coffee when filled to a depth of 7.5 cm? Density of coffee is 1000 kg/m³. Unit conversion: 1 kg = 1000 g; 1 m = 100 cm.
- 3. A water tank filled to height h, has small hole at height z. Show that the stream of water emerging from this hole strikes the ground at the horizontal distance d = 2√z(h-2) from the base of the tank. What choice of z gives the largest horizontal distance? What is the largest horizontal distance? N ←Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. What is the angle between v and w in degrees?vector a = <-1,4,5>, vector b = <1,-2,1> what is the value of vectors a*b. what is the angle between vector a and b
- The formula for differential volume in a spherical coordinate. a. ? sin ? ?? ?? ??b. ? sin ? ?? ?? ??c. ? sin ? ?? ?? ??d. ? sin ? ?? ?? ??An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.620 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (tha inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.6 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread kg • m2The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:
- What is the volume of a hat box (cylinder) in liters, which is 60.0cm in diameter and 38.5cmtall ? (V = πr2h) Explain how you got your answer.Vector R is defined as the vector sum of vectors A and D (?⃗ = ? + ?⃗ ) shown below. What are the vector components of vector R?2. You are manufacturing a can which is a perfect cylinder. The ideal volume of the can is 375 cm3. Since the bases of the cylinders are exactly 50 cm2, the volume of the can is V = 50h where h is the height of the can in centimeters. You need to cut the sides of the can so the volume has at most an error of 10 cm³. Give the range of heights the can could have and still meet the required specifications for its volume.