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B
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Difficulty:
85%
(hard)
Question Stats:
52% (02:42) correct
48%
(02:31)
wrong
based on 679
sessions
History
Date
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Not Attempted Yet
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?
A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches
A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches
27 Feb 2013, 06:17
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emmak
The area of 16 inches pizza is \(\pi{R^2}=8^2\pi=64\pi\).
The minimum area covered with toppings is \(\frac{3}{4}*64\pi=48\pi\) --> the radius of the toppings is \(\pi{r^2}=48\pi\) --> \(r=4\sqrt{3}\approx{6.9}\).
The maximum width for the crust possible = R - r = 8 - 6.9 = 1.1 inches.
Answer: B.
General Discussion
03 Mar 2013, 06:50
Kudos
Bookmarks
Hmmm not an official question and the wording is tough on this
