how many spherical lead shots each 4.2cm in diameter can be obtained from a rectangular solid of lead with dimesions 66cm,42cm,21cm.
Answers
Step-by-step explanation:
diameter of spherical lead shots = 4.2÷2 = 2.1cm
no of lead shots (n) = volume of rectangle ÷
volume of rectangle
n = L×B×H ÷ 4/3× 3.14 ×(2.1)(2.1)(2.1)
=> (66×42×21 x3)÷ 4 x 3.14 x 2.1 x2.1 x 2.1
=> 174636 ÷ 116.424
=> 1500
therefore, number of spherical lead shots = 1500
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
Explanation:
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