What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
1,570 cubic centimeters
1,570 cubic centimeters
314 cubic centimeters
314 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
6,280 cubic centimeters
the bot is right
but the way he explained it looked messy.
the diameter is 20 so we divided 20 by 2 = 10
10 x 10 x 15 = 1500
1500 divided by 3 = 500
500 x 3.14 = 1570
The volume of a cone can be calculated using the formula V = (1/3)Ï€r^2h, where r is the radius and h is the height. Since the diameter is given (20 cm), we can find the radius by dividing it by 2: r = 20 cm / 2 = 10 cm.
Now substituting r = 10 cm and h = 15 cm into the formula, we get:
V = (1/3)Ï€(10 cm)^2(15 cm) = (1/3)Ï€(100 cm^2)(15 cm) = (1/3)(3.14)(100 cm^2)(15 cm) = (1/3)(3.14)(1500 cm^3) = 1570 cm^3.
Therefore, the volume of the cone is 1,570 cubic centimeters.