Question

A spherical storage tank has a length of radius of 2 ft. What is the surface area (in square feet) of the storage tank? Use the calculator value of . (Round your answer to two decimal places.)ft2The storage tank needs to be painted, and you can only purchase full pints of rust-proofing paint. Determine the number of pints of paint that must be purchased to paint the tank if 1 pint covers approximately20 ft2.(Round your answer up to the nearest whole number.)pt

Answer 1

The formula for the surface area (A) of a sphere is,

$A=4πr^2$

Given:

$r=2ft$

Therefore,

$A=4\pi(2)^2=50.26548\approx50.27(2\text{ decimal places\rparen}$

Hence, the surface area of the sphere is 50.27ft².

Given that

$\begin{gathered} 1pint=20ft^2 \\ \therefore50.27ft^2=\frac{1pint\times50.27}{20}=\frac{50.27pint}{20}=2.5135\approx3pt \end{gathered}$

Therefore, you need to purchase 3pints.