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.
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
2 answers
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
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