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12 Jun 2018, 11:01
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:46) correct
33%
(01:34)
wrong
based on 134
sessions
History
Date
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Not Attempted Yet
A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe make?
(A) 4
(B) 16
(C) 24
(D) 32
(E) 40
(A) 4
(B) 16
(C) 24
(D) 32
(E) 40
12 Jun 2018, 11:14
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Solution
Given:
- • A certain recipe makes enough batter for exactly 8 circular pancakes, each of which are of 10 inches diameter
To find:
- • How many pancakes, each of which are 5 inches diameter and of same thickness as previous, should the recipe make
Approach and Working:
As the thickness is same in both the cases, we need to consider surface area only
- • Radius in the 1st case = 5 inches
• Radius in the 2nd case = 2.5 inches
If we assume that in the 2nd case N number of pancakes can be made, then we can write,
- • \(N * pi * 2.5^2 = 8 * pi * 5^2\)
Or, \(N = \frac{8 * 25}{6.25} = 32\)
Hence, the correct answer is option D.
Answer: D
12 Jun 2018, 11:17
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Hi,
Given: Cake diameter = 10 so radius = 5.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
OA - D.
Given: Cake diameter = 10 so radius = 5.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
OA - D.
