Question

A cylinder has a radius of X +2 and a height of X +4 which polynomial in standard form best describes the total volume of the cylinder? Use the formula be equals pi R squared H for the volume of a cylinder

Answer 1

V = r^2*h. V = (4x+2)^2*(5x+4) V = (16x^2 +16x +4)*(5x+4) ... 20 per sq. cm is rs.

Explanation:

Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V = r²h for the colume of a cylinder.. . A) 80x³ + 144x² + 84x + ... than we consider it without pi so result choice A

Answer 2

The polynomial is given as π(x³ + 8x² + 20x + 16)

The formula for the volume of a cylinder is expressed as;

V = πr²h

Such that;

• r is the radius
• v is the volume

• h is the height

since the radius is x + 2 and the height is x + 4

substitute the values

Volume = π × (x+2)² ×x + 4

expand the bracket

Volume = π × (x² + 4x +4) ×(x + 4)

expand the bracket, we get;

Volume = π(x³ + 8x² + 20x + 16)