If the length of a diagonal of a square is (a + b), then the area of the square is:
SSC CGL 2021-13.04.2022-1
a2 + b2
\(\dfrac{1}{2}\)(a2 + b2) + ab
a2 + b2 + 2ab
\(\dfrac{1}{2}\)(a2 + b2)
Let x cm2 be the surface area and y cm3 be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere?
SSC CGL 2021-13.04.2022-3
The curved surface area of a right circular cylinder is 616 cm2 and the area of its base is 38.5 cm2. What is the volume (in cm3) of the cylinder? (Take π = \(\dfrac{22}{7}\))
SSC CGL 2021-13.04.2022-3
A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm2). \(\text{(Use } \pi = \frac{22}{7} \text{)}\)
SSC CGL 2021-18.04.2022-1
\( 900 \frac{4}{7} \)
\( 112 \frac{4}{7} \)
\( 675 \frac{3}{7} \)
\( 675 \frac{3}{7} \)