Question

What is the volume of this oblique cone? 80π cm³ 160π cm³ 240π cm³ 320π cm³

What is the volume of this right cone?


27π cm³

200π cm³

213π cm³

300π cm³

Answer 1

1) 320π cm³

2)300π cm³

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Answer 2

1. D.
`320\pi\text{ cm}^3`.

2. D.
`300\pi\text{ cm}^3`.

Explanation:

1.

`\text{Volume of an oblique cone}=(1)/(3)\pi r^2h`, where,

r = Radius of the cone,

h = Height of the cone.

Upon substituting our given values we will get,

`\text{Volume of an oblique cone}=(1)/(3)\pi r^2h`

`\text{Volume of an oblique cone}=(1)/(3)\pi(8\text{ cm})^2* 15\text{ cm}`

`\text{Volume of an oblique cone}=(1)/(3)\pi(64\text{ cm}^2)* 15\text{ cm}`

`\text{Volume of an oblique cone}=\pi(64\text{ cm}^2)* 5\text{ cm}`

`\text{Volume of an oblique cone}=320\pi\text{ cm}^3`

Therefore, the volume of our given oblique cone is
`320\pi\text{ cm}^3` and option D is the correct choice.

2.

`\text{Volume of right cone}=(1)/(3)\pi r^2h`, where,

r = Radius of the cone,

h = Height of the cone.

Upon substituting our given values we will get,

`\text{Volume of right cone}=(1)/(3)\pi (10\text{ cm})^2* 9\text{ cm}`

`\text{Volume of right cone}=(1)/(3)\pi 100\text{ cm}^2* 9\text{ cm}`

`\text{Volume of right cone}=100\pi\text{ cm}^2* 3\text{ cm}`

`\text{Volume of right cone}=300\pi \text{ cm}^3`

Therefore, the volume of our given right cone is
`300\pi \text{ cm}^3` and option D is the correct choice.