Question

If the volume of a right circular cone of height 9cm is 48 cm3, then find the diameter of the base.

Answer 1

Answer:

8cm

Step-by-step explanation:

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Answer 2

Answer:

$\huge \underline \bold {Correct \: Question}:$

• If the volume of right circular cone is 48π³ and it's height is 9cm , find the diameter of the base.

$\huge \underline \bold {Given}:$

• Shape=Cone
• Volume of Cone=48πcm³
• Height of the cone = 9cm

$\huge \underline \bold {To \: Find}:$

• Diameter of the base

$\huge \underline \bold {Solution}:$

➻Volume of Cone=⅓πr²h

➻48π=⅓ π²×9

➻48=⅓ r²×9

➻48×3=r²×9

➻144=r²×9

➻144÷9=r²

➻16=r²

➻√16=r

➻4cm=Radius

__________________________

➻Diameter=2×Radius

➻Diameter=2×4

➻Diameter=8cm

Therefore, Diameter of the base is 8cm.

✿Formulas Related to Cone :-

• Volume of Cone = ⅓ πr²h
• C.S.A of Cone = πrl
• T.S.A of Cone = πrl + πr²

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