Question

28) The volume of a cylinder is 38.5 cubic centimeters and the height is 6 centimeters. What is the area of the

base circle? Round the answer to the nearest hundredth. (Hint: Work backwards.)
B=?cm²
V=38.5 cm'
h=6cm

Answer 1

• Area of base circle = 6.42 cm²

Step-by-step Step-by-step explanation:

Given :-

• Volume of cylinder = 38.5 cu cm.
• Height of cylinder = 6 cm.

To Find :-

• Area of base?

Solution :-

We know,

• Area of Base = πr².

In order to calculate to Area of base firstly we need to calculate the radius of the cylinder.

We are provided with Volume of cylinder that is 38.5 cm³.

We know,

• Volume of cylinder = πr²h

`\: :\implies` 3.14 × r² × 6 = 38.5

`\: :\implies` 18.84 × r² = 38.5

`\: :\implies` 2.04 3

`\: :\implies` 1.4292

`\: :\implies` 1.43 (nearest hundredth)

Radius of the cylinder is 1.43 cm.

Now,

• Area of base = πr²

`\: :\implies` 3.14 × (1.43)²

`\: :\implies` 3.14 × 2.0449

`\: :\implies` 6.420986

`\: :\implies` 6.42 (nearest hundredth)

Therefore, Area of the base circle is 6.42cm².