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timofeeve [1]
4 years ago
10

A scoop of ice cream has a 1.5 inch radius. How tall is the ice cream cone of the same radius be in order to contain all of the

ice cream inside the cone
Mathematics
1 answer:
Trava [24]4 years ago
5 0

Answer:

  6 inches

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr^3

The formula for the volume of a cone is ...

  V = (1/3)πr^2h

The volumes will be equal when their ratio is 1:

  (4/3πr^3)/(1/3πr^2h) = 1

  4r/h = 1 . . . . simplify

  4r = h = 4(1.5 in) = 6 in . . . . . multiply by h, substitute given values

The height of the cone must be 6 inches to hold the volume of the spherical scoop of ice cream.

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Help with this please question 3
MrRissso [65]
3a. Jackson's gross pay for 40 hours is
  (40 h)×($12.20/h) = $488.00

3b. An equation for Jackson's pay could be
  372.10 = h×12.20
This can be solved for h by dividing by 12.20
  372.10/12.20 = h = 30.5
Jackson worked 30.5 hours last week.

3c. The total of hours shown is
  (8) + (7 1/4) + (8 1/2) = (8 +7 +8) +(0.25 +0.50) = 23.75
The number of hours missing is the difference between this number and the hours found in part (b).
  30.50 - 23.75 = 6.75
There are 6 3/4 hours missing from Jackson's time sheet for last week. This is less than a full day's work, so seems reasonable.


_____
Of course, you know the decimal - fraction conversions:
  1/4 = 0.25
  1/2 = 0.50
  3/4 = 0.75
3 0
3 years ago
on an airplane there are two on the left side in each row and three seats on the right.There are 24 seats on the right side of t
vovikov84 [41]
Well three seats in the right with 24 seats means there is 8 rows. I assume the same for the left. So 2x8=16. Sixteen Seats on the left. This is my theory. Though options would be nice.
8 0
4 years ago
Read 2 more answers
See picture below. What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?
kondor19780726 [428]

Answer:

3

Step-by-step explanation:

\sum 2n+1= \boxed{\big( \sum_{i=1} ^{4}2n \big) +1}

And,

$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $

$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $

$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$

Hence the difference is 3.

8 0
3 years ago
Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and FLK are congruent. Who completed
zalisa [80]

Answer:

Tonya proof is correct
and Pearl proof is wrong

Step-by-step explanation:

AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.

But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.

The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation

8 0
2 years ago
Damon's father started a college fund on Damon's 8th birthday. He deposited $7500 into a CD (certificate of credit) that yields
algol13

Answer:

7672.50

Step-by-step explanation:

7500×0.23%=17.25

17.25×10=172.50

7500+172.50=7672.50

4 0
3 years ago
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