0
The volume of the larger sphere will be 27 times the original.
The volume of a sphere is (4/3)*pi*r³, so if V1 = (4/3)*pi*r1³ and V2 = (4/3)*pi*r2³ the ratio of volumes V2/V1 = r2³ / r1³ = 27 [the (4/3) and pi cancel];
since r2 = (3*r1) then (3*r1)³ = (3³*r1³) = 27* r1³, then divide by r1³ and the answer is 27.
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Jordan
CoachAdd your answer:
Earn +20 pts
What happens to the volume of a cylinder if the radius and height are tripled?
The original volume is multiplied by 27.
What is the volume of a sphere when the radius is 3x3?
A sphere with a radius of 9 units has a volume of 3,053.63 units3
What is the volume of a sphere if the radius of the sphere is 7 inches?
A sphere with a radius of 7 inches has a volume of 1,436.76 cubic inches.
What is the radius of a sphere with a volume of 972 cm cubed?
volume sphere = 4/3 π radius³ → radius = ³√(¾ volume sphere ÷ π) = ³√(¾ × 972cm³ ÷ π) ≈ 6.1cm
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
