40) How many spherical lead shots each 4.2 cm in diameter can be obtained from a rectangular solid of
lead with dimensions 66cm, 42cm, 21cm. (use=22/7)
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Answer:188
Step-by-step explanation:
Just find the volume of the rectangle and the sphere.(V of a sphere=4/3*π*r^3).
Divide the volume of the rectangle by the sphere's volume to obtain the number of lead shots.
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Answer:
Let number of headshots be x.
Volume of lead in the rectangular solid =(66×42×21)cm3
Radius of a lead shot = 4.2/2 cm = 2.1 cm
Volume of a spherical lead shot = 4π×(2.1)3cm3
Volume of x spherical lead shots =
= [(4/3) × (22/7) × (2.1)^3 × x )] cm^3
Volume of x spherical shots = Volume of lead in rectangular solid
(4/3 × 22/7 × (2.1)^3 × x ) = 66 × 42 × 21
⇒ x = 66 × 42 × 21 × 3 × 7/4 × 22 × (2.1)^3
⇒x = 1500
∴ Number of lead shots=1500
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