A cylindrical pencil holder has a radius of 8cm and height of 12cm. How much paper is needed to cover the curved face of a cylinder?

Sagot :

Answer:

Volume Word Problems

1. The volume of the cylindrical pencil

holder is 602.88 cm³. 2. The spherical tank can hold 904.32 cubic meters of water.

Volume refers to the three-dimensional space enclosed by a boundary or occupied by an object. The volume of an object determines the amount required to fill that object. It can be measured in cubic units.

Solution:

1. The problem is asking for the volume of the cylindrical pencil holder. To find the answer, use the formula in finding the volume of a cylinder which is V = nr²h. Since the diameter is given which is 8 cm, get the half of it as the radius.

V = πr²h

= (3.14) (4 cm)² (12 cm) = (3.14) (16 cm²) (12 cm)

= 602.88 cm³

2. The problem is asking for amount of water that the spherical tank can hold. To find the answer, use the formula in finding the volume of a sphere. It is V = 4/3Tr³.

V = 4/3TTr³

= 4/3 (3.14) (6 m)³

= 4/3 (3.14) (216 m³)

= 4/3 (678.24 m³)

= 904.32 m³

(For number 3, the picture of the pyramid is not indicated.)

Example of Volume Word Problem: https://brainly.ph/question/105974

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