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mafiozo [28]
3 years ago
15

You have a right circular cone of height 1530 mm and volume 2.2 x 104 in3 . Calculate the base diameter of the cone.

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

  37.35 in

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (π/3)r²h

where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.

  V = (π/3)(d/2)²h

  12V/(πh) = d²

  d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))

  = 2√(1.6764×10^6/(π·1.53×10^3) in^2)

  d ≈ 37.35 in

The base diameter of the cone is about 37.35 inches.

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535.29 = 400(1 + r) 5
joja [24]

Answer:

Step-by-step explanation:

(1+r)^5=\frac{535.29}{400} \\1+r=(\frac{535.29}{400}) ^{\frac{1}{5} } \\1+r \approx 1.06\\r \approx .06

7 0
3 years ago
Which expression is equivalent to 76× + 68?​
alexandr1967 [171]

Answer:

4(19x + 17)

Step-by-step explanation:

76x + 68 both numbers are divided by 4 so we fact out 4 and introduce the brackets : 4(19x + 17 )

7 0
2 years ago
During martinez family trip they drove from home to a ski lodge a distance of 45 4/5 miles and then drove an additional 17 4/5 m
Fudgin [204]

Answer: the trip is 127 1/5 miles

Step-by-step explanation:

The distance that the martinez family drove from home to the ski lodge is 45 4/5 miles. Converting 45 4/5 miles to improper fraction, it becomes 229/5 miles.

Then, they drove an additional 17 4/5 miles to there friends house. Converting 17 4/5 miles to improper fraction, it becomes 89/5 miles

This means that the total distance that they drove while going is

229/5 + 89/5 = 318/5 miles

If the family drove the same route back home, then the distance traveled during there trip is

2 × 318/5 = 636/5 miles

Converting to mixed fraction, it becomes

127 1/5 miles

4 0
3 years ago
Convert: 112 meters =______________________ <br> centimeters
ElenaW [278]

Answer:         m               cm

                    112.00 11,200

Step-by-step explanation:

5 0
2 years ago
NEED EXPLANATION AND PROCESS!!!
Romashka-Z-Leto [24]

Answer:

x = 133

y = 43

Step-by-step explanation:

x + 47 = 180

so x is 133

47 + y = 90

so y is 43

3 0
3 years ago
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