Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
78.3/3.48= 22.5
quotient is the result of division. simply divide 78.3 by 3.48 in a calculator and you get your answer.
Answer:
Step-by-step explanation:
volume=πr^2h
461.58=3.14*r^2*12
461.58=37.68*r^2
461.58/37.68=r^2
12.25=r^2
=r
3.5=r
diameter=radius*2
=3.5*2
=7 in.
Answer:
b=-18
Step-by-step explanation:
If a line that passes through the point
and it has slope
, the equation of the line is:

Answer:
x
12
Step-by-step explanation: