This can be treated as a proportion problem.
Larger solid:
Surface area = 1,372 cm²
Volume = 1,801 cm³
Smaller solid:
Surface area = 1,008cm²
Volume = ?
1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18
The volume of the smaller solid is 1,323.18 cm³
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Step-by-step explanation:
Given
Diameter of Cone = d = 6 cm
Radius will be:
r = d/2 = 6/2 = 3 cm
Height of cone = h = 3d = 18 cm
The volume of cone is given by:
Putting the values
Hence,
Option A: 1/3(3.14)(3cm)^2(18cm) is the correct answer
Keywords: Volume, cone
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Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
Answer:
1.5333333
Step-by-step explanation:
7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53
Answer:
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
The answer is D.
Step-by-step explanation:
