A cone has a radius of 20 cm and a volume of 925 cm how do you solve the volume of a similar cone with a radius of 10

Answer 1

cm

Volume of a cone = (1/3)πr^2h

Volume of the original cone = (1/3)π(20 cm)^2h

925 cm = (1/3)π(20 cm)^2h

h = 925 cm / (1/3)π(20 cm)^2

h = 925 cm / (1/3)(3.14)(400 cm^2)

h = 925 cm / 1256 cm^2

h = 0.735 cm

Volume of the similar cone = (1/3)π(10 cm)^2(0.735 cm)

Volume of the similar cone = (1/3)(3.14)(100 cm^2)(0.735 cm)

Volume of the similar cone = 235.5 cm