Acylinder has a height of 16cm and a radius of 5cm. a cone has a height of 12cm and a radius of 4cm. if the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (use 3.14 as an approximation of ‘pi’.)
radius of cylinder = 5cm
radius of cone = 4cm

1055.04

Step-by-step explanation:

Cylinder

h = 16 cm

r = 5 cm

Volume = ?

Formula

V=pi * r^2 * h

Solution

V = pi r^2*h

V = 3.14 * 5*5*16

V = 1256 cm^3

Cone

h = 12 cm

r = 4 cm

Formula

V = (1/3) pi r * r * h

Solution

V = (1/3) 3.14 * 4 * 4 * 12

V = (1/3) 602.88

V = 200.96

Answer

Volume of unoccupied region = Cylinder - Cone

Volume of unoccupied region = 1256 - 200.96

Volume of unoccupied region = 1055.04

You will have to round it to the number of digits required.

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.