A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm times 5 cm times 2 cm- Find the - of wastage-70-46-34-43-

Question

Toppr Admin · Accepted Answer

Volume of rectangular block - lbh-10-xD7-5-xD7-2-100cm3Volume of cone - 13-x3C0-r2h-13-xD7-227-xD7-3-xD7-3-xD7-7-66cm3- wastage - 100-x2212-66100-xD7-100-34-

A cone of height $7$ cm and base radius $3$ cm is carved from a rectangular block of wood $10 c m \times 5 c m \times 2 c m$ . Find the % of wastage.
$70 %$
$46 %$
$34 %$
$43 %$

Volume of rectangular block $=$ $l b h = 10 \times 5 \times 2 = 100 {c m}^{3}$
Volume of cone $=$ $\frac{1}{3} π r^{2} h = \frac{1}{3} \times \frac{22}{7} \times 3 \times 3 \times 7 = 66 {c m}^{3}$
% wastage $=$ $\frac{100 - 66}{100} \times 100 = 34$ %

A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10cm×5cm×2cm. Find the % of wastage.70%46%34%43%

Volume of rectangular block = lbh=10×5×2=100cm3Volume of cone = 13πr2h=13×227×3×3×7=66cm3% wastage = 100−66100×100=34%

A cone of height $7$ cm and base radius $3$ cm is carved from a rectangular block of wood $10 c m \times 5 c m \times 2 c m$ . Find the % of wastage.
$70 %$
$46 %$
$34 %$
$43 %$

Volume of rectangular block $=$ $l b h = 10 \times 5 \times 2 = 100 {c m}^{3}$
Volume of cone $=$ $\frac{1}{3} π r^{2} h = \frac{1}{3} \times \frac{22}{7} \times 3 \times 3 \times 7 = 66 {c m}^{3}$
% wastage $=$ $\frac{100 - 66}{100} \times 100 = 34$ %