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Tatiana [17]
3 years ago
6

3. A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. 12 radius 18 height ​
Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

8138.88 cubic unit.

Step-by-step explanation:

Given that,

Radius, r = 12

Height, h = 18

We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :

V=\pi r^2 h\\\\V=3.14\times 12^2 \times 18\\\\V=8138.88\

So, the volume of the cylinder is 8138.88 cubic unit.

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Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
2 years ago
Add the two expressions.<br><br> −2.4n−3 and −7.8n+2
Sphinxa [80]

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1

Thus, the two given expressions add up to -10.2n - 1

4 0
2 years ago
Solve x+5&lt;-5 for x<br> please help
yawa3891 [41]

Answer:

x<-25

Step-by-step explanation:

5 0
3 years ago
What is done wrong in this question please answer it ASAP!!! i need to submit in 30 min
Shkiper50 [21]

Answer:

dividing by a fraction is multiplying by the reciprocal.

This example swaps the left hand in stead of the right hand.

Step-by-step explanation:

So the correct approach would have been:

6 \times \frac32

\frac{18}{2} = 9

6 0
2 years ago
Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many bat
SashulF [63]
She can make 2 batches.
7 0
3 years ago
Read 2 more answers
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