A spherical balloon is being inflated at a constant rate of 240 cm³s¹. (a) At what rate is the radius increasing when the radius is 8 cm? (b) At what rate is the radius increasing after 5 seconds?
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- (a) How many significant figures are in the numbers 999.0 and 1000.0? 999.01000.0 (b) If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.) 999.0 %1000.0 % (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?You purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?T The total surface area, A, of the cylinder can be expressed as A = (a) Find the value of k. (b) Find the value of that makes the total surface area a minimum
- Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.One cubic centimeter of a typical cumulus cloud contains 350 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.0 km? (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have?There is relatively little space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale - approximately 10^3 kg/m^3. The nucleus of an atom has a radius of about 10^-5m of that of the entire atom, and conatins nearly all mass of the atom. a) What is the approximate density, in kilograms per cubic meter, of a nucleus. b) One possible remnant of a supernova, called a neutron star, can have the density of a nucleus, while being the size of a small city. What would be the raduis, in kilometers, of the neutron star with a mass 10 times that of the Sun? The radius of the Sun is 7*10^8 m and its mass is 1.99*10^30 kg
- Imagine a library : there are shelves 8 m high, filled with books on both sides, if the width of the shelves is 60 cm and the distance between the shelves (corridor) is 1.5 m. So first, calculate how many shelves to occupy an area of 3500 m2, how many books are on one shelf, and finally how many books are in total.... Information about the dimension of each book and also the length of the book shelves or other. Assume yourself Answer with the step thank U... Please no reject this question is complete im needed in 30-40 minutes thank uthe average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?(1) A metallic sphere has a density p and a radius r. (a) Using dimensional analysis, derive a formula for the mass of the sphere. (b) Using dimensional analysis, derive a dependence of the sphere radius if its mass and density are known.
- The rate of change of altitude in cm/s of a bird is given by a′(t)=650ln(t+3). What is the total change in altitude between t=3 and t=7? Round your answer to the nearest whole number and do not include units.What is the ratio of the surface area to the volume (a) for the 1 m sphere (b) for the 2 m sphere (c) for the 3 m sphere? A) (a) 1/3 (b) 2/3 (c) 1 B) (a) 3 (b) 1.5 (c) 1 C) (a) 1 (b) 1.5 (c) 3 D) (a) 1 (b) 2/3 (c) 1/3A rectangular box with mass 16.5 g is said to have dimensions of 2.8 cm x 1.7 cm * 0.4 cm . Calculate the density of this rectangular box, in g/cm^ 3 . The volume of a rectangular box is length times width times depth (I^ * W^ * d) .