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lys-0071 [83]
3 years ago
12

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of

the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.
480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.
Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0

Answer:

216π sq ft

Step-by-step explanation:

given that :

d = 12 ft => r = 12/2 = 6ft

h(cyl) = 10 ft

h(cone) = 8 ft

the surface area = ?

the solution :

the slant of cone = √r²+h²

= √6²+8²= √100 = 10 ft

the surface area of silo =

the lateral area of cone + the lateral area of cylinder + the base area

= π×r×slant + 2×π×r×h(cyl) + π×r²

= π×6×10 + 2×π×6×10 + π×6²

= 60π + 120π + 36π

= 216π sq ft

sp2606 [1]3 years ago
5 0

Answer:

216π sq ft

Step-by-step explanation:

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gogolik [260]

Rewrite the fractions as improper fractions:

1. −4 2/5 ÷ (−5)

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= -22/5 x -1/5

=22/25

2.  −4 4/5÷4

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= -24/5 x 1/4

= -6/5

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3. −2 1/8 ÷ 1 1/4

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4. −6 7/8 ÷ (−3 3/4)

= -55/8 ÷ -15/4

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5. −8 3/4÷ 2 1/6

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3 years ago
A can of tomato sauce has a volume of 903 cm3 and a height of 11.5 cm. What is the diameter of the can? Group of answer choices
Thepotemich [5.8K]

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

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r^2 = 903 / (3.14 x 11.5)

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Swap the shortest and longest pencil's places. You don't have to move the middle pencil.
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Step-by-step explanation:

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aivan3 [116]

Answer:

P-value is less than 0.999995 .

Step-by-step explanation:

We are given that a driver's education course compared 1,500 students who had not taken the course with 1,850 students who had.

Null Hypothesis, H_0 : p_1 = p_2 {means students who took the driver's education course and those who didn't took have same chances to pass the written driver's exam the first time}

Alternate Hypothesis, H_1 : p_1 > p_2 {means students who took the driver's education course were more likely to pass the written driver's exam the first time}

The test statistics used here will be two sample Binomial statistics i.e.;

                             \frac{(\hat p_1 - \hat p_2)-(p_1 - p_2)}{\sqrt{\frac{\hat p_1(1- \hat p_1)}{n_1} + \frac{\hat p_2(1- \hat p_2)}{n_2} } } ~ N(0,1)

Here, \hat p_1 = No. of students passed the exam ÷ No.of Students that had taken the course

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  Test Statistics = \frac{(\frac{1150}{1850} -\frac{1440}{1500})-0}{\sqrt{\frac{\frac{1150}{1850}(1- \frac{1150}{1850})}{1850} + \frac{\frac{1440}{1500}(1- \frac{1440}{1500})}{1500} } } = -27.38

P-value is given by, P(Z > -27.38) = 1 - P(Z > 27.38)

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3 years ago
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