How much space will a cylinder occupy if its h=92 cm and

its diameter is 14 cm? 2. What is the volume of a rectangular box if its length is 32 cm, height is 15 cm, and width is 25 cm?

3. What is the space occupied by a 18 cm square box?

4. What is the volume of a rectangular table if the length is 54

cm, width is 36 cm, and height of 62 cm?

5. How much space will a metal ball occupy if it has a diameter of 12 cm?​

Respuesta :

Answer:

1) 14155.12cm³

2) 12,000cm³

3) 5832cm³

4) 120,528cm³

5) 904.32cm³

Explanation:

1) Space a cylinder occupies when its height is 92cm and diameter is 14cm.

> We have to find the volume of the cylinder

> Volume of cylinder = pi × r² × h

(radius or r of this cylinder is 7cm as radius is the half of diameter hence, 14 ÷ 2 = 7)

(pi = 3.141592653589793238 or 3.14)

Volume of cylinder = pi × r² × h

= 3.14 × 7² × 92

= 3.14 × 49 × 92

= 14155.12 cm³

> The cylinder occupies 14155.12 cm³

2) Volume of a rectangular box/ cuboid = length×width×height

Volume of rectangular box = 32 × 25 × 15

= 12,000cm³

3) Volume if a square box/ cube = length³ or length × length × length

Volume of square box = 18³

= 5,832cm³

4) Volume of a rectangular table / cuboid = l × w × h

Volume of table = 54 × 36 × 62

= 120,528cm³

5) Volume of metal ball/ sphere = 4/3 × pi × r³

(radius of this ball is 6cm)

Volume of ball = 4/3 × 3.14 × 6³

= 4/3 × 3.14 × 216

= 904.32cm³

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