Question

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

Answer 1

Answer:

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

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

Step-by-step explanation:

1.

$\text{Volume of an oblique cone}=\frac{1}{3}\pi r^2h$, where,  

r = Radius of the cone,

h = Height of the cone.

Upon substituting our given values we will get,

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

$\text{Volume of an oblique cone}=\frac{1}{3}\pi(8\text{ cm})^2\times 15\text{ cm}$

$\text{Volume of an oblique cone}=\frac{1}{3}\pi(64\text{ cm}^2)\times 15\text{ cm}$

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

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

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

2.

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

r = Radius of the cone,

h = Height of the cone.

Upon substituting our given values we will get,

$\text{Volume of right cone}=\frac{1}{3}\pi (10\text{ cm})^2\times 9\text{ cm}$  

$\text{Volume of right cone}=\frac{1}{3}\pi 100\text{ cm}^2\times 9\text{ cm}$  

$\text{Volume of right cone}=100\pi\text{ cm}^2\times 3\text{ cm}$

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

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

Answer 2

1) 320π cm³

2)300π cm³

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