2021

Mathematics

POST UTME

How many complete spheres of volume $4.2cm^3$ can fill a sphere of radius $4cm$ ? ( $\pi = 3.142$ ).

A.

50

B.

65

C.

63

D.

7 Correct Answer: 63

Explanation

$Vol = \frac{4}{3} \pi r^3$
with $\pi = 3.142 , r = 4cm$

$Vol = \frac{4}{3} \pi r^3$

with $\pi = 3.142 , r = 4cm$

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2021

Mathematics

POST UTME

How many complete spheres of volume ﻿4.2cm34.2cm^34.2cm3﻿ can fill a sphere of radius ﻿4cm4cm4cm﻿ ? (﻿π=3.142\pi = 3.142π=3.142﻿ ).

A.

50

B.

65

C.

63

D.

7

Correct Answer: 63

Explanation

﻿Vol=43πr3Vol = \frac{4}{3} \pi r^3Vol=34​πr3﻿ with ﻿π=3.142,r=4cm\pi = 3.142 , r = 4cmπ=3.142,r=4cm﻿

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How many complete spheres of volume $4.2cm^3$ can fill a sphere of radius $4cm$ ? ( $\pi = 3.142$ ).

$Vol = \frac{4}{3} \pi r^3$
with $\pi = 3.142 , r = 4cm$