The height of a cone is 14 cm and the area of its base is 321 cm squar

1.	The height of a cone is 14 cm and the area of its base is 321 cm square. Find the volume.
Answer» Answer: v = 1496 cm^3 Step-by-step explanation: HEIGHT: 14 cm Area of base: 321 cm^2 Volume of CONE= (1/3)πr^2h Area of base: πr^2 π = (22/7) (in this cause we will SET PI = 22/7) we just need to find the radius to plug it in to the volume formula πr^2 = 321 cm^2 (22/7)r^2 (7/22)(321cm^2) r = (102cm^2) ^ (1/2) r = 10.995..cm r = 10.10 cm Volume = (1/3)πr^2h h = 14 cm r = 10.10 cm v = (1/3)π(10.10cm)^2(14 cm) v = 1496 cm^3

The height of a cone is 14 cm and the area of its base is 321 cm square. Find the volume.

Answer»

Answer:

v = 1496 cm^3

Step-by-step explanation:

HEIGHT: 14 cm

Area of base: 321 cm^2

Volume of CONE= (1/3)πr^2h

Area of base: πr^2

π = (22/7) (in this cause we will SET PI = 22/7)

we just need to find the radius to plug it in to the volume formula

πr^2 = 321 cm^2

(22/7)r^2 *(7/22)*(321cm^2)

r = (102cm^2) ^ (1/2)

r = 10.995..cm

r = 10.10 cm

Volume = (1/3)πr^2h

h = 14 cm

r = 10.10 cm

v = (1/3)π(10.10cm)^2(14 cm)

v = 1496 cm^3