A brass grain measure is shaped like a frustum with end radii 23 cm and 11 cm and a depth of 7 cm. Find its capacity in cm³. (Take \π = 22/7 .)

Question

Accepted Answer

6622. V = 1/3\π h (R^2 + r^2 + Rr) = 1/3 × 22/7 × 7 × (529 + 121 + 253) = 22/3 × 903 = 22 × 301 = 6622 cm³. 4766.67 drops the Rr term (650 instead of 903); 19866 forgets the 1/3 ; 1056 wrongly uses (R - r)^2 = 144 in place of R^2 + r^2 + Rr .

A brass grain measure is shaped like a frustum with end radii 23 cm and 11 cm and a depth of 7 cm. Find its capacity in $cm^{3}$ . (Take $π = \frac{22}{7} .$ )

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More Class 10 Frustum of a Cone practice

A brass grain measure is shaped like a frustum with end radii 23 cm and 11 cm and a depth of 7 cm. Find its capacity in cm3. (Take π=722​.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Frustum of a Cone practice

A brass grain measure is shaped like a frustum with end radii 23 cm and 11 cm and a depth of 7 cm. Find its capacity in $cm^{3}$ . (Take $π = \frac{22}{7} .$ )