Question
What is the volume of the pyramid if its height is 11 square cm. Radius is 10 cm and width is 7 cm
Answers
GPT 3.5
To calculate the volume of a pyramid, we use the formula:
Volume = (1/3) × base area × height
First, let's calculate the base area of the pyramid, which is the area of the circular base. The formula to find the area of a circle is:
Area = π × radius²
Given that the radius is 10 cm, we can calculate the base area:
Base area = π × (10 cm)²
Base area = π × 100 cm²
Base area ≈ 314.16 cm² (rounded to two decimal places)
Now we can calculate the volume using the formula:
Volume = (1/3) × base area × height
Volume = (1/3) × 314.16 cm² × 11 cm
Volume ≈ 3454.56 cm³ (rounded to two decimal places)
Therefore, the volume of the pyramid is approximately 3454.56 cm³.
Volume = (1/3) × base area × height
First, let's calculate the base area of the pyramid, which is the area of the circular base. The formula to find the area of a circle is:
Area = π × radius²
Given that the radius is 10 cm, we can calculate the base area:
Base area = π × (10 cm)²
Base area = π × 100 cm²
Base area ≈ 314.16 cm² (rounded to two decimal places)
Now we can calculate the volume using the formula:
Volume = (1/3) × base area × height
Volume = (1/3) × 314.16 cm² × 11 cm
Volume ≈ 3454.56 cm³ (rounded to two decimal places)
Therefore, the volume of the pyramid is approximately 3454.56 cm³.