Question

How many solid cylinders of radius 20 cm and height 12 cm can be made by melting a solid sphere of radius 60 cm ?

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Answer 1

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✪QUESTION✪:-

How many solid cylinders of radius 20 cm and height 12 cm can be made by melting a solid sphere of radius 60 cm ?

✪GIVEN✪:-

CYLINDER:

• radius (r) = 20cm
• height(h) = 12cm

SPHERE:

• radius (r)= 60cm

✪ANSWER✪:-

➥n×VOLUME OF CYLINDER = VOLUME OF SPHERE

➥n × $\pi {r}^{2} h \:$

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

➥ n × $\frac{22}{7} \times$ 20 × 20 × 12 = $\frac{4}{3} \times \frac{22}{7}$ × 60 × 60 × 60

➥ n = $\frac{4 \times 60 \times 60 \times 60}{3 \times 20 \times 20 \times 12}$

➥ n = 3× 4 ×5

➥ n = 60

60 solid cylinders can be made by melting a solid sphere

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CYLINDER:

➠TSA = $2\pi \: r \: (h + r) \: sq \: units$

➠CSA = $2\pi \: r \: h \: sq \: units$

➠volume = $\pi \: {r}^{2} h \: cub \: units$

SPHERE:

➠SA = $4 \: \pi \: {r}^{2} sq \: units$

➠volume = $\frac{4}{3} \pi \: {r}^{3} \: cub \: units$

Answer 2

Answer:

60 cylinders can be made by melting a solid sphere of radius 60cm