The volumes of two similar solids are 1728 m³ in 343 m³. the surface area of the larger solid is 576 m². what is the surface area of the smaller solid

a. 196 m²
b. 76 m2
c. 1372 m²
d. 392 m²

A. 196 m²

Step-by-step explanation:

The two similar solids have volumes 1728 m³ and 343 m³.

The ratio of their side lengths is :

This simplifies to:

If the surface area of the larger solid is  576 m², then the surface area of the smaller solid is given by:

The correct answer is A

V = 340.2 ft^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 10, so the radius is 1/2 d = 1/2 (10) = 5

Substituting into the equation

V = 1/3 pi (5)^2 *13

V = 325/3 * pi

Substituting 3.14 for pi

V = 325/3 *3.14

   340.166666666

Rounding to the nearest tenth

V = 340.2 ft^3