Question

The dimensions of a cuboid are 44cm, 21cm, 12cm. It is melted and a cone of height 24cm is made. Find the radius of its base.

Answer 1

Answer:

Step-by-step explanation:

Volume of cuboid = Volume of cone

L×b×h=1_3 pie r2h

44×21×12=1_3×22_7×r2×24

11088=176_7×r2

11088×7=176×r2

77616=176×r2

77616_176=r2

441=r2h

21=r

Answer 2

Answer:

Radius = 21cm

Step-by-step explanation:

First find the volume of the cuboid;

Length * width * height

21 * 44 * 12

= 11,088cm3

Since the same material is melted to make a cone, the the volume of the cone and the cuboid are equal;

Volume of a cone = 1/3 * pi* (radius)^2 * height

11088 = 1/3 * 22/7 *r^2 * 24

11088 = 176/7 * r^2

11088/25.14 = 25.14 r^2

441.05 = r^2

21 = r

Radius = 21cm