Question

32. A corn cob, shaped somewhat like a cone, has the radius of its broadest end
as 7 cm and height as 24 cm. If each 1 cm? of the surface of the cob carries
an average of four grains, find how many grains you would find on the
22
entire cob. Also find the volume of the corn cob. (Use t= =)
7​

Answer 1

Assuming your question:

Answer:

Number of grains = 2200

Volume = 1232 cm³

Step-by-step explanation:

So...

length = √h²+r² (Phythagoras Theoram)

∴ l = √24²+7²

    = √576+49

    = √625

    = 25cm

Now CSA of cone = πrl (taking π as 22/7)

Where, r = 7 , l = 25 , h = 24

= 22/7 × 7 × 25

= 22 × 25

= 550cm²

∴ Total grains = 550cm² × 4

= 2200 grains (apprx.)

Now, Volume of the cone = 1/3 π r² h

= 1/3 × 22/7 × 7 × 7 × 24

= 22 × 56

= 1232 cm³

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