The surface area A of a sphere of radius r is given by A = 4πr².
If r measures 10.0 ± 0.50 cm.
(i) What is the absolute error in A? (ii) What is the greatest
percentage error in A?
(iii) What is the volume, V (V=4/3 πr3)? (iv) Fractional error in
V? (v) absolute error in V?
A sphere of radius r has surface area A = 4πr2 and volume V = (4/3) πr3. The radius of sphere 2 is double the radius of sphere 1. (a)What is the ratio of the areas, A2/A1? (b)What is the ratio of the volumes, V2/V1?
Find the average surface area of a spherical balloon when the radius changes from r = 4 to r = 4.05 cm. The surface area formula for a sphere with radius r is A = 4πr^2 . Round to two decimal places.
Write a program to calculate the volume and surface area of a sphere from it radius given as input. Here are some formulas that might be useful: V = 4/3πr3 A = 4 πr2
A sphere has radius R = 12.3 measured in cm. What is the volume of this sphere measured in in3? (Hint: The volume of a sphere is given by V = 4 3 π R 3 .)
The radius R of a sphere is 9.2 cm. Calculate the sphere's surface area A Use the value 3.14 for T, and round your answer to the nearest tenth. Acm
a student measure the radius r of a sphere with an absolute uncertainty delta r.What is the fractional uncertainty in the volume of the sphere?
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
There is a small sphere with volume, V, surface area, As, and specific heat, c. The sphere was initially was at T, and was placed in liquid with temperature To and heat transfer coefficient h. Show the governing equation and temperature as a function of time when (i) Ti > To and (ii) Ti < T. You can use the lumped capacitance analysis. (20 pt) 3.
There is a small sphere with volume, V, surface area, As, and specific heat,...
1) Given a coccus bacterium with a radius of 0.85 micrometers, what is its surface area to volume ratio, assuming it has perfect geometry? Report your answer as a decimal, for example a surface area of 1 μm2 with a volume of 3 μm3 would would yield SA / V = 0.67 μm-1. Do not include units when reporting your answer. The formula for the volume of a sphere in the lab manual is incorrect. Here are the formulas for...
1. Sphere 1 has surface area A1 and volume V1 and sphere 2 has surface area A2 and volume V2. If the radius of sphere 2 is 3.86 times the radius of sphere 1, what is the ratio of the areas A2/A1? 2. What is the ratio of the volumes V2/V1