A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of radius 7 cm, and has a thickness of 2 cm. Find the volume of the clay remaining in both the halves.

$1523.8 c m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$1422.33 c m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$1559.25 c m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$1617.52 c m^{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$1617.52 c m^{3}$

Radius of hemisphere = 7 cm

Thickness of the clay ball = 2 cm

Radius of the clay ball = 7 + 2 = 9 cm

Volume of clay ball remaining is =

$\frac{4}{3} π {r_{1}}^{3} - \frac{4}{3} π {r_{2}}^{3} \frac{4}{3} π [9^{3} - 7^{3}] \frac{4}{3} \times \frac{22}{7} \times 386 = 1617.52 c m^{3}$

Suggest Corrections

Similar questions

Q. A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of inner radius

3 c m

and has a thickness of

3 c m

. Find the total volume of the clay remaining in both the halves.

Q. A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of radius 7 cm, and has a thickness of 2 cm. Find the volume of the clay remaining in both the halves.

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is $10 c m$ and its base is of radius $3.5 c m$ , find the volume of wood in the toy.

Q. A 4 m thick layer normally consolidated clay has average e = 1.3. Its compression index is 0.6 and coefficient of consolidation is

1 m^{2} / y r

. If the increase in vertical pressure due to foundation load on the clay layer is equal to existing effective overburden pressure, the change in the thickness of the clay layer in mm.

From each end of a solid metal cylinder, metal was scooped out in hemispherical form of same diameter. The height of the cylinder is $10 c m$ and its base is of radius $4.2 c m$ . The rest of the cylinder is melted and converted into a cylindrical wire of $1.4 c m$ thickness. Find the length of the wire.

Join BYJU'S Learning Program

A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of radius 7 cm, and has a thickness of 2 cm. Find the volume of the clay remaining in both the halves.

The correct option is D 1617.52 cm3 Radius of hemisphere = 7 cm Thickness of the clay ball = 2 cm Radius of the clay ball = 7 + 2 = 9 cm Volume of clay ball remaining is = 43πr13−43πr2343π[93−73]43×227×386=1617.52 cm3