Diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .

8.00 cm (to 3 s.f.)

Step-by-step explanation:

*r= radius of the cylinder

h= height of cylinder

Substitute the given volume and height into the formula:

704= πr²(14)

Square root both sides:

Diameter= 2(radius)

∴ Diameter of cylinder

= 2(4.0008)

= 8.0016

= 8.00cm (3 s.f.)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

what shape is