Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3

6 0

2 years ago

Read 2 more answers

How does the DMV point system work?

Elodia [21]

Answer:

A. It keeps track of a driver's offenses so that they can suspend his license if they need to

Step-by-step explanation:

The DMV keeps a record of a person's driving history. This records any accidents or another traffic offenses like red light violations or speed violations etc.

Each traffic violation is assigned a point on a person's driver record. Hence, it is used to keep track of a driver's offenses so that they can suspend his license if they need to.

4 0

3 years ago

What are the vertices of triangle A'B'C' produced by (x, y) -> (x+5, y-2)?

lara [203]

Answer:

The vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:

A'(8, -2)

B'(8, 0)

C'(5, -5)

Step-by-step explanation:

Given the vertices of an original triangle ΔABC such that

A = (3, 0)

B = (3, 2)

C = (0, -3)

As the rule of translation is given by

Translation: (x, y) → (x+5, y-2)

So, after the translation the vertices of the original triangle ΔABC will be translated as:

A = (3, 0) → (x+5, y-2) ⇒ (3+5, 0-2) = A'(8, -2)

B = (3, 2) → (x+5, y-2) ⇒ (3+5, 2-2) = B'(8, 0)

C = (0, -3) → (x+5, y-2) ⇒ (0+5, -3-2) = C'(5, -5)

Therefore, the vertices of triangle A'B'C' produced by (x, y) → (x+5, y-2) will be:

A'(8, -2)

B'(8, 0)

C'(5, -5)

7 0

3 years ago

Jasmine has only $46.50 to spend at forever 21. She wants to buy a shirt that costs $19, including tax, and some bracelets that

ivanzaharov [21]

46.50 - 19 = 5.50x

We get the 46.50 from her budget and the 19 from the shirt she wants to buy. If we subtract 19 from 46.50, we'll get the amount of money Jasmine can spend on bracelets.

46.50 - 19 = 27.50

She has $27.50 to spend on bracelets. Now, we divide that by 5.50 (the price of a bracelet) to see how many she can buy.

27.50 ÷ 5.50 = 5

Jasmine can buy 5 bracelets.

Hope this helps!

4 0

3 years ago