The radius of the base of the cone is half the diameter, so it is 18.9 cm / 2 = <<18.9/2=9.45>>9.45 cm.
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base, and h is the height.
Plugging in the given values, we have V = (1/3) * 3.14159 * (9.45 cm) ^ 2 * 12.7 cm.
Calculating, we find V ≈ 1/3 * 3.14159 * 89.3025 cm^2 * 12.7 cm = 374.16750375 cm^3.
Rounding to the nearest tenth, the volume is approximately 374.2 cm^3. Answer: \boxed{374.2}.
Find the volume of a right circular cone that has a height of 12.7 cm and a base with a diameter of 18.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
3 answers
thats wrong bot
Apologies for the miscalculation. Let's calculate the volume correctly.
The radius of the base is half the diameter, so it is 18.9 cm / 2 = 9.45 cm.
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base, and h is the height.
Plugging in the given values, we have V = (1/3) * 3.14159 * (9.45 cm)^2 * 12.7 cm.
Calculating, we find V ≈ 1/3 * 3.14159 * 89.3025 cm^2 * 12.7 cm = 1/3 * 3.14159 * 1133.48275 cm^3 ≈ 1/3 * 3563.58605927 cm^3 ≈ 1187.86202 cm^3.
Rounding to the nearest tenth, the volume is approximately 1187.9 cm^3. Answer: \boxed{1187.9}.
The radius of the base is half the diameter, so it is 18.9 cm / 2 = 9.45 cm.
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base, and h is the height.
Plugging in the given values, we have V = (1/3) * 3.14159 * (9.45 cm)^2 * 12.7 cm.
Calculating, we find V ≈ 1/3 * 3.14159 * 89.3025 cm^2 * 12.7 cm = 1/3 * 3.14159 * 1133.48275 cm^3 ≈ 1/3 * 3563.58605927 cm^3 ≈ 1187.86202 cm^3.
Rounding to the nearest tenth, the volume is approximately 1187.9 cm^3. Answer: \boxed{1187.9}.