Question

the object is made of 2 solids-a cube and a hemishphere.the base of the cube with edges of 5 cm and the hemishphere fixed on the top has a dianmeter of 4.2cm.fi dthe total suface area of yhe object​

Answer 1

Answer:

163.86 sq. cm

Step-by-step explanation:

Given: Edge of cube (a) = 5 cm

Diameter of hemisphere = 4.2 cm

then radius of hemisphere = 4.2/2 = 2.1 cm

Total surface area of solid

Total surface area of cube + CSA of hemisphere - Area of circle which is hidden by top of hemisphere

$= 6 {a}^{2} + 2\pi {r}^{2} - \pi {r}^{2}$

$= 6 {a}^{2} + \pi {r}^{2}$

$= 6 \times 5 \times 5 + \frac{22}{7} \times 2.1 \times 2.1$

= 150 + 13.86

= 163.86 sq.cm