Example Question - cone volume calculation
Here are examples of questions we've helped users solve.
Calculating the Volume of a Cone
The volume of a cone can be calculated using the formula: \[ \text{Volume} = \frac{1}{3} \pi r^2 h \] Where \( r \) is the radius of the base of the cone and \( h \) is the height of the cone. For a cone with a height \( h = 20 \) cm and a base radius \( r = 10 \) cm, we can plug these values into the formula to get the volume: \[ \text{Volume} = \frac{1}{3} \pi \times (10 \text{ cm})^2 \times 20 \text{ cm} \] The correct formula to use for the calculation, based on the given information and the options provided in the image, is the third one: \[ \boxed{\frac{1}{3} \pi \times (10 \times 10) \times 20} \]
Calculating Volume of a Cone with Known Dimensions
The image contains a question related to a cone with the given dimensions: the radius is 5.5 cm and the height is 12.5 cm. However, the specific question to be solved is not visible in the image. I can provide assistance with common questions related to these dimensions such as calculating the volume or the surface area if that's what you need. For a cone, the volume (V) can be calculated using the formula: \[ V = \frac{1}{3}\pi r^2 h \] Where: - \( r \) is the radius, - \( h \) is the height, and - \( \pi \) is Pi, approximately 3.14159. Given that \( r = 5.5 \) cm and \( h = 12.5 \) cm, the volume would be: \[ V = \frac{1}{3} \times \pi \times (5.5)^2 \times 12.5 \] \[ V = \frac{1}{3} \times \pi \times 30.25 \times 12.5 \] \[ V = \frac{1}{3} \times \pi \times 378.125 \] \[ V = \pi \times 126.0416667 \] \[ V ≈ 3.14159 \times 126.0416667 \] \[ V ≈ 396.85 \text{ cm}^3 \] The volume of the cone is approximately 396.85 cubic centimeters. If you need the surface area or any other calculation, please provide the specific question or let me know which calculation you require.
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