# CBSE Class 9 Answered

**A solid rectangular block of iron of dimensions 7 cm x 4 cm x 2.75 cm is recast into a cylinder of radius 7 cm. Find the height of the recast cylinder.**

Asked by Topperlearning User | 26 Oct, 2017, 11:52: AM

Expert Answer

Dimensions of the rectangular block are

Length (l) = 7 cm, breadth (b) = 4 cm and height (h) = 2.75 cm

Volume of the rectangular block (V) = lbh = 77 cm^{3}

Radius of recast cylinder (R) = 7 cm

Let H be the height of the recast cylinder and V_{1} denotes its volume.

Rectangular block is recasted into a cylinder. Therefore volume of the cylinder is equal to the volume of the rectangular block.

Thus, the height of the recast cylinder is 0.5 cm.

Answered by | 26 Oct, 2017, 01:52: PM

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