Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.

Answers

Answer 1
Answer: The answer is 10.6 cubic inches.

The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
r - radius of the cone base,
h - height of the cone.

It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14

If:
V = 1/3 π r² h,
Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³

Therefore, Judy's sugar cone can hold 10.6  in³.
Answer 2
Answer:

B) 10.6 cubic inches


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Answers

mmmm i think its C but I'm not sure, I'm sorry if the answer was wrong :)

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Answers

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Find the surface area of the prism.A. 1589 ft2
B. 9534 ft2
C. 811,551 ft2
D. 1,623,102 ft2

Answers

Simple...if this is a right rectangular prism..then you already know the formula for surface area...

Surface Area: 2(wl+hl+hw)

plug in what you know...

l=729

w=413

h=447

2((413)(729)+(447)(729)+(447)(413))

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Thus, your answer, D.

In a group there are 2 girls and 4 boys. What fraction of the group is girls?2/5
216
3/6
4/6

Answers

Answer:

4/6

Step-by-step explanation:

The diagram shows a semicircle divided into three arcs of equal length, where A is the midpoint of . What is mDEC?

Answers

mDEC will be equal to mECA. This is because AC and ED are parallel lines, cut through by a transversal line (EC). This makes mDEC and mECA interior angles, which are, by definition, equal to one another.

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

A) (2x + 1)(2x2 + 2x – 1)
B) (2x + 1)(4x3 + 2x – 1)
C) (2x + 1)(4x2 – 2x + 1)
D) (2x + 1)(2x2 – 2x + 1)

Answers

General form: a^3 + b^3 = (a + b) (a^2 -ab +b^2)

Now replace with a= 2x, b = 1

(2x)^3 + 1^3 = (2x + 1) [ (2x)^2 -(2x)(1) + 1^2) = (2x + 1) (4x^2 - 2x + 1)

Therefore, the answer is the option C)
(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)


C is answer