A can of soda has a volume of 355 mL. The area of a circle is given as A = r², where r is the radius of the circle, so the volume of the can is given by V = ( r²)h, where h is the height of the can. If a particular can has a height of 12.2 cm what is the radius of the can? A) 3.04 mm B) 3.04 cm C) 9.26 mm D) 9.26 cm

Question

Quizplus · Accepted Answer

We have V = Ah, where A = 11eab394_241c_cc2b_a5fb_e3c771c86934_TB1656_11 r² and h = 12.2 cm. Also, we know that the volume of the can is 355 mL, which is equal to 355 cm³. Therefore: 355 = A × 12.2 355 = (11 π r²) × 12.2 r² = 355 / (11 π × 12.2) r ≈ 3.04 cm So the radius of the can is approximately 3.04 cm, which is answer choice B.

A Can of Soda Has a Volume of 355 ML