Question

Find radius if volume of cylinder is 1.54 m cube and height 10m

Answer 1

Answer:

Radius = 7√10 cm

Step-by-step explanation:

Given information :

Volume of the cylinder is 1.54 m³ .

Height of the cylinder is 10 m .

We are required to find the radius of the cylinder .

By formula :

V = π r² h

V = volume .

r = radius .

h = height .

So according to formula :

V = π r² h

⇒ 1.54 m³ = π × ( r² ) × 10 m

⇒ 1.54 / 10 = π r²

⇒ 0.154 m² = π r²

Take π as 22/7

⇒ 0.154 m² = 22/7 × r²

⇒ r² = 0.154 m² × 7/22

⇒ r² = 0.007 × 7 m²

⇒ r² = 7/1000 × 7 m²

⇒ r² = 49/1000 m²

⇒ r = 7/10√10 m

⇒ r = 0.7/(√10)  m

⇒ r = 0.7 / ( √10 ) × ( √10 ) / ( √10 )

⇒ r = 0.7 √10 / 10

⇒ r = 0.07 √10 m

⇒ r = 7√10 cm

The radius will be  7√10 cm.

Answer 2

Given:- Height (h)=10 m
Volume of the cylinder (V)=1.54 m³
So, let the radius be ‘r' metres

According to the question:-

V=π×r²×h

1.54=22/7×r²×10

1.54=220/7×r²

1.54×7÷220=r²

0.049=r²

√0.049=r

√49/√1000=r

7/√1000=r

7/10√10=r ( after rationalizing the fraction )

7√10/100=r

0.221=r

0.22=r

So, radius=0.22 m