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katen-ka-za [31]
1 year ago
10

An ice cream cone has a height of 6 inches and a radius of 1 inches shown. The ice cream completely fills the cone, as well as t

he half-sphere above the cone.
Which is closest to the total volume, in cubic inches of the ice cream?
A) 1 π
B) 4 π
C) 2/3 π
D)8/3

Mathematics
1 answer:
Romashka [77]1 year ago
5 0

Answer:

Option D ,i.e., 8/3 \pi is closest to the total volume in cubic inches of the ice cream.

Step-by-step explanation:

Total Volume of the ice cream = Volume of Cone + Volume of Hemisphere

Radius = 1 inches and Height = 6 inches

=> \pi r^{2} h/3 + \pi r^{3} 2/3

=> \pi (1^{2} 6/3 + 1^{3} 2/3)

=> \pi (2+2/3)

=> 8/3 \pi cubic inches.

Reference: brainly.com/question/15171467?referrer=searchResults

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Solve for x. Write the smaller solution first, and the larger solution second.
Shkiper50 [21]

Answer:

Step-by-step explanation:

x^2 + 3x - 10 = 0

(x - 2)(x + 5) = 0

x - 2 = 0       x + 5 = 0

x = 2             x = -5

smaller x = -5

larger x = 2

5 0
3 years ago
In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.
slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

b^2 = a^2 + c^2- 2a*c*cos(120)

b^2 = 81 + 25 - 2*9*5*(-0.5)

b=\sqrt{151}

Now finding angle A using law of cosine:

cos(A) = \frac{b^2+c^2-a^2}{2b*c}

cos(A) = \frac{151+25-81}{2*12.29*5}

cos A=0.7730

A=39.38

Therefore, the measure of angle A = 39°.

7 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP! WILL GIVE BRAINLIEST TO CORRECT AND STRONG ANSWER! THANK YOU IM STRUGGLINGGG
KengaRu [80]

Answer:

Step-by-step explanation:

a3 = 2

d = -5

=============

a4 = a3 - 5

a4 = 2 - 5

a4 = - 3

===============

a5 = a4 - 5

a5 = -3 - 5

a5 = - 8

Just take a4 as your answer.

7 0
3 years ago
Solve the inequality:3x+5&gt;-10
Amanda [17]
3x>-10-5. 3x>-15. x>-15/3. x>-5.
7 0
3 years ago
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of th
Alekssandra [29.7K]

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

5 0
3 years ago
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