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Oksi-84 [34.3K]
3 years ago
12

A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar

ger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches prior to being cut. What is the volume of the resulting part illustrated in the figure?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches prior to being cut. What is the volume of the resulting part illustrated in the figure?

C. 390 cubic inches

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Answer:

Step-by-step explanation:

Given

P_1=Probability of clearing exam in 1 st attempt=0.5

P_2=Probability of clearing exam in 2 nd attempt=0.7

P_3=Probability of clearing exam in 3 rd attempt=0.8

Probability that she passes the exam=P(1 st\ attempt)+P(1\ fail)\cdot P(2\ pass)+P(1\ fail)\cdot P(2\ fail)\cdot P(3 rd pass)

P=0.5+0.5\times 0.7+0.5\times 0.3\times 0.8=0.97

(b)P(Pass qualification on 2nd try|passes qualification)

P(Pass qualification on 2nd try|passes qualification)=\frac{P(fail\ on\ 1 )\cdot P(pass\ in\ 2nd)}{P(passes)}

P(Pass qualification on 2nd try|passes qualification)=\frac{0.5\times 0.7}{0.97}=0.3608

5 0
3 years ago
Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the lengt
shtirl [24]

Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters

And, the width of her kitchen is 1 and 1 ÷ 2 meter

So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)

= 2 and 1 ÷ 2

Hence, the  length in meters of Anita's kitchen is  2 and  1 ÷ 2  

6 0
3 years ago
1. Jerry has a photo that is 7 inches wide and 5 inches high. He wants to enlarge it so that the new photo has a
Alexandra [31]

Answer:

9 Inches

Step-by-step explanation:

8 0
2 years ago
Wich algebraic expression represents ”forty times a number”?<br><br> 40+n<br> 40n<br> n-40<br> 40/n
Reika [66]
The answer to the problem is 40n
4 0
3 years ago
Read 2 more answers
Find the lateral area of the pyramid to the nearest whole number.
son4ous [18]

Answer:

The correct answer is first option.  204 m²

Step-by-step explanation:

Formula:-

Lateral surface area of square pyramid = 4 * area  of triangle

<u>To find the slant height of triangle(l)</u>

l = √(6² + 6²) = 6√2

To find the area of triangle

Area = bh/2

b = 12 m

h =  6√2

Area = (12 * 6√2)/2 = 36√2

<u>To find the lateral surface area of Prism</u>

Lateral surface area of square pyramid = 4 * area  of triangle

= 36√2 * 4 = 203.64 ≈ 204 m²

First answer is the correct option

7 0
3 years ago
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