How is the volume of a cylinder affected when its radius is doubled? Geometry Perimeter, Area, and Volume Volume of Solids 1 Answer Euan S. Aug 3, 2016 Volume quadrupled. Explanation: #V_("cylinder") = pir_("cylinder")^2h# #therefore V prop r^2 implies V = kr^2# Let #r_2 = 2r_1#, then #V_2/V_1 = (kr_2^2)/(kr_1^2) = r_2^2/r_1^2# #V_2 = V_1(r_2/r_1)^2 = V_1((2r_1)/(r_1))^2 = V_1(2)^2 = 4V_1# Answer link Related questions What is the volume #v# of a sphere of radius #r#? How do I find the volume of a sphere in terms of pi? How to find the volume of a sphere using integration? How do you find the volume of a square pyramid given the formula #V=s^2(h)/3# when #s=4#inches... What is the surface area to volume ratio of a sphere? The total area of a cube is expressed by A(x) = 24x^2+24x+6. What is the volume of this cube? If the volume of a sphere doubles, what is the ratio of the surface area of the new, larger... Question #497d1 Question #6b9d0 If #9# cubic blocks with a side length of #1/3# inches are needed to find the volume of a cube,... See all questions in Volume of Solids Impact of this question 2462 views around the world You can reuse this answer Creative Commons License