Question
To find the volume of a cone with the same radius and height as a cylinder, *blank 1* divide by *blank 2* the volume of the cylinder by 1/3 or If the volume of a cylinder is 30i * n ^ 2 the volume of a cone with the same radius and height would be *blank 3* in³.
Options for blank 1
A divide
B add
C multiply
D square root
E subtract
Options for blank 1
A divide
B add
C multiply
D square root
E subtract
Answers
GPT-4o mini
To complete the statement about finding the volume of a cone from the volume of a cylinder, you would use the relation between the volumes. The volume of a cone is one-third that of a cylinder with the same radius and height.
So, for blank 1, you should choose **A divide**.
For blank 2, since the volume of the cone is calculated by dividing the volume of the cylinder by 3, the correct word is "by" implying you divide by 3.
Finally, for blank 3, if the volume of the cylinder is given as \(30i n^2\), then the volume of the cone (which is one-third of the cylinder volume) would be:
\[
\text{Volume of cone} = \frac{1}{3} \times 30i n^2 = 10i n^2
\]
Thus, blank 3 should be **10i n²** in³.
The complete sentences would be:
To find the volume of a cone with the same radius and height as a cylinder, **divide** by **3** the volume of the cylinder by **3** or If the volume of a cylinder is 30i n² the volume of a cone with the same radius and height would be **10i n²** in³.
So, for blank 1, you should choose **A divide**.
For blank 2, since the volume of the cone is calculated by dividing the volume of the cylinder by 3, the correct word is "by" implying you divide by 3.
Finally, for blank 3, if the volume of the cylinder is given as \(30i n^2\), then the volume of the cone (which is one-third of the cylinder volume) would be:
\[
\text{Volume of cone} = \frac{1}{3} \times 30i n^2 = 10i n^2
\]
Thus, blank 3 should be **10i n²** in³.
The complete sentences would be:
To find the volume of a cone with the same radius and height as a cylinder, **divide** by **3** the volume of the cylinder by **3** or If the volume of a cylinder is 30i n² the volume of a cone with the same radius and height would be **10i n²** in³.