Question

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Answer 1

Question:-

Find the volume of the cone.

Either enter an exact answer in terms of π or use 3.14 for π .

Figure in attachment.

Answer:-

Given:-

• Radius of cone = 10
• Height of cone = 6

To Find:-

• Volume of cone

Identity used :-

• Volume of cone = $\frac{1}{3} \pi {r}^{2} h$

Solution:-

In terms of π

Volume of cone = $\frac{1}{3} \pi {r}^{2} h$

= 1/3 × π × 10² × 6

= 1/3 × π × 100 × 6

= 600/3 × π

= 200π

In terms of π = 3.14

Volume of cone = $\frac{1}{3} \pi {r}^{2} h$

= 1/3 × 3.14 × 10² × 6

= 1/3 × 3.14 × 100 × 6

= 1/3 × 3.14 × 600

= 1884/3

= 628 units

Answer 2

Given:-

Radius of cone = 10

Height of cone = 6

To Find:-

Volume of cone

Identity used :-

Volume of cone = \frac{1}{3} \pi {r}^{2} h

3

1

πr

2

h

Solution:-

In terms of π

Volume of cone = \frac{1}{3} \pi {r}^{2} h

3

1

πr

2

h

= 1/3 × π × 10² × 6

= 1/3 × π × 100 × 6

= 600/3 × π

= 200π

In terms of π = 3.14

Volume of cone = \frac{1}{3} \pi {r}^{2} h

3

1

πr

2

h

= 1/3 × 3.14 × 10² × 6

= 1/3 × 3.14 × 100 × 6

= 1/3 × 3.14 × 600

= 1884/3

= 628 units