Question

Find volume of tumbler made up of bamboo of height 14cm and diameter of 6cm.

Answer 1

Answer:

• The volume of the tumbler is 396 cm³.

Step-by-step explanation:

Given :-

• Height of the tumbler = 14 cm.
• Diameter of the tumbler = 6 cm.

To Find :-

• Volume of the tumbler.

Basic Terms :-

• Radius : A line segment extending from the center of a circle or sphere to the circumference or bounding surface.
• Diameter : The diameter is the length of the line through the center that touches two points on the edge of the circle.
• Volume : Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object. 

Formula Used :-

➊ To find the radius we know that,

✦ Radius = Diameter/2 ✦

where,

• Diameter = 6 cm.

➋ To find the volume we know that,

✪ Volume of cylinder = πr²h ✪

where,

• π = 22/7.
• h = 14 cm.

Solution :-

➊ To find the volume of the tumbler it is important to have it's radius. Then firstly, we will find out the radius of the tumbler.

Given :

• Diameter = 6 cm.

According to the question by using the formula we get,

↦ Radius = Diameter/2

↦ Radius = 6/2

➦ Radius = 3 cm

∴ Hence, the radius of the tumbler is 3 cm.

➋ Now we have the radius of the tumbler. So, now we will find out the volume of the tumbler.

Given :

• π = 22/7.
• r = 3 cm.
• h = 14 cm.

According to the question by using the formula we get,

↦ Volume of tumbler = πr²h

↦ Volume of tumbler = 22/7 × (3)² × 14

↦ Volume of tumbler = 22/7 × 3 × 3 × 14

↦ Volume of tumbler = 22/7 × 9 × 14

↦ Volume of tumbler = 22/7 × 126

➦ Volume of tumbler = 396 cm³

∴ Hence, volume of the cylinder is 396 cm³.