Volumes Practice Test 3

Question : 34 of 40

Marks: +1, -0

A cone of height 7 cm and base-radius 1 cm is carved out from a cuboidal block of wood of size 10 cm × 5 cm × 2 cm. Find the wasted wood in this process.
(Use π = 22/7)

$7 1/3$ %
$46 1/3$ %
$53 2/3$ %
$92 2/3$ %

Validate

Solution:

Volume of the cuboidal block of wood = 10 × 5 × 2 = 100

cm^3

Volume of the wasted wood = 100 –

1/3 × {22}/7 × 1^2 × 7

{278}/3 cm^3

Since, percentage of wasted wood =

{278}/{3×100} × 100

92 2/3 %

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