Question

find the volume of the largest right circular cone that can be cut off of a cube whose edge is 7 cm

Answer 1

Gɪᴠᴇɴ :-

• Edge of cube = 7cm.

Tᴏ Fɪɴᴅ :-

• volume of the largest right circular cone that can be cut off of a cube .

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

when Largest cone is cut off From a cube of Edge a cm, Than :-

• Radius of cone = (a/2) cm.
• Height of cone = a cm.

Sᴏʟᴜᴛɪᴏɴ :-

→ Radius of cone = (7/2)cm.

→ Height of cone = 7cm.

So,

→ Volume of Required cone = (1/3) * π * (Radius)² * Height

→ Volume = (1/3) * (22/7) * (7/2) * (7/2) * 7

→ Volume = (1/3) * 22 * (49/4)

→ Volume = (11 * 49) / (3 * 2)

→ Volume = (539/6)

→ Volume = 89.83 cm² (Ans.)

Hence, volume of the largest right circular cone that can be cut off of a cube will be 89.83cm².

Answer 2

Answer:

89.8333

Step-by-step explanation:

the volume of the largest right circular cone that can be cut off of a cube whose edge is 7 cm is 89.8333.