Question

Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter oaf the holes is 6 cm and height 4 cm, find (i)volume of the cylinder, (ii)volume of one conical hole, (iii)volume of the remaining solid.

Answer 1

Answer:

Volume of solid Cylinder is 160π cm³ , Volume of 1 conical hole is  12π cm³ and  Volume of the remaining solid is  136π cm³.

Step-by-step explanation:

SOLUTION :  

Given :  

Height of the solid cylinder, H = 10 cm

Diameter of the solid cylinder = 8 cm

Radius of the solid cylinder , R = 8/2 = 4 cm

Height of a conical hole ,h = 4 cm

Diameter of a conical hole = 6 cm

Radius of a conical hole , r = 6/2 = 3 cm

(i) Volume of solid Cylinder,V1  = πR²H

V1 = π × 4²× 10

V1 = 160π cm³

Volume of solid Cylinder = 160π cm³

(ii) Volume of 1 conical hole , V2=  ⅓ πr²h

V2 = ⅓ × π × 3² × 4

V2 = 12π cm³

Volume of 1 conical hole = 12π cm³

(iii)Volume of the remaining solid ,V = Volume of solid Cylinder - 2 ×  volume of conical hole  

V = V1 - 2 × V2

V = 160π - 2× 12π

V = 160π - 24π  

V = 136π cm³

Volume of the remaining solid = 136π cm³

Hence, the Volume of solid Cylinder is 160π cm³ , Volume of 1 conical hole is  12π cm³ and  Volume of the remaining solid is  136π cm³.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

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