Question

the radius and height of a cylinder 7 ratio 2 if the volume of the cylinder is 8316 cm3 . find the total surface area of the cylinder

Answer 1

Answer :

3560.76 sq. Cms

Step by step explanation:

Let the Radius and the height of the cylinder be 7x and 2x respectively.

Given that, the volume of this cylinder is 8316 cubic cms.

We know that,

The volume of a cylinder = π × squared Radius of the cylinder × height of the cylinder

Let's put all the values we know in this formula.

$v = \pi \: {r}^{2} h \\ \\ 8316 = \frac{22}{7} \times 7x \times 7x \times 2x \\ \\ 8316= 22 \times 14 {x}^{3} \\ \\ 14 {x}^{3} = \frac{8316}{22} \\ \\ 14 {x}^{3} = 378 \\ \\ {x}^{3} = \frac{378}{14} \\ \\ {x}^{3} = 27 \\ \\ x = 3$

So, height = 2 × 3 = 6
Radius = 7 × 3 = 21

Total surface area of the cylinder = 2πr(h+r)

= 2 × 3.14 × 21 (6 + 21)

= 2 × 3.14 × 21 × 27

= 3560.76 sq. Cms.

Answer 2

hope this will help you