Question

What is the volume of Sand in a bucket of Base diameter 95cm ,rim diameter 125cm and height 100cm?

Answer 1

Answer:

Step-by-step explanation:

Please see the attachment below.

Hope it helps.

Answer 2

Answer:

Volume of sand in bucket is 956607.142 cm³

Step-by-step explanation:

Given,

Diameter of base = 95 cm

Since we know,

Radius = Diameter / 2

So,

Radius of base ( r ₁ ) = 95 / 2

r₁ = 47.5 cm

Also it is given,

Diameter of rim = 125 cm

Radius of rim ( r₂ ) = 125 / 2

r₂ = 62.5 cm

Now we know,

Volume = $\frac{1}{3} \pi [r_{1} ^{2} +r_{2} ^{2}+r_{1}*r_{2}]*h$

where

r₁ and r₂ are radius of base and rim respectively

h is the height

Substituting the values,

Volume = $\frac{1}{3} *\frac{22}{7} [(47.5) ^{2} +(62.5) ^{2}+(47.5)*(62.5)]*100$

= $\frac{1}{3} *\frac{22}{7} [2256.25+3906.25+2968.75]*100$

= $\frac{1}{3} *\frac{22}{7} [9131.25]*100$

= $\frac{1}{3} * 2869821.428$

= 956607.142 cm³

Hence,

Volume of sand in bucket is 956607.142 cm³