Example Question - calculate volume cone
Here are examples of questions we've helped users solve.
Calculating the Volume of a Cone
To find the volume of a cone, you can use the formula: \[ V = \frac{1}{3} \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius of the base of the cone, and \( h \) is the height of the cone. Given that the radius \( r = 3 \) cm and the height \( h = 4 \) cm, you can plug these values into the formula: \[ V = \frac{1}{3} \pi (3\, \text{cm})^2 (4\, \text{cm}) \] \[ V = \frac{1}{3} \pi \cdot 9\, \text{cm}^2 \cdot 4\, \text{cm} \] \[ V = \frac{1}{3} \pi \cdot 36\, \text{cm}^3 \] \[ V = 12 \pi\, \text{cm}^3 \] So the volume of the cone is \( 12 \pi \) cubic centimeters.
Calculating Volume of a Cone
The question in the image is asking for the volume of a cone. The formula to calculate the volume of a cone is: \[ \text{Volume} = \frac{1}{3} \pi r^2 h \] where \( \pi \) is Pi, approximately 3.14159, \( r \) is the radius of the base of the cone, and \( h \) is the height of the cone. According to the image, the ice cream cone has a diameter of 3 inches, which means the radius \( r \) is half of that, so \( r = 1.5 \) inches. The height \( h \) of the cone is given as 7 inches. Now plug these values into the formula to find the volume: \[ \text{Volume} = \frac{1}{3} \pi (1.5)^2 \cdot 7 \] \[ \text{Volume} = \frac{1}{3} \pi \cdot 2.25 \cdot 7 \] \[ \text{Volume} = \frac{1}{3} \cdot 3.14159 \cdot 2.25 \cdot 7 \] \[ \text{Volume} = \frac{1}{3} \cdot 3.14159 \cdot 15.75 \] \[ \text{Volume} = 3.14159 \cdot 5.25 \] \[ \text{Volume} = 16.49351 \cdot 3 \] \[ \text{Volume} = 49.480525 \text{ in}^3 \] Rounded to the nearest tenth, the volume is approximately 49.5 cubic inches. Based on the answer choices provided in the image, none of them match this exact answer. It might be a good idea to double-check the calculations or see if the image contains any error in the question or answer options.
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