Answer Number 9a to d only

Here are the answers for questions 9a to 9d.

9a)
The formula for the volume of a cylinder is V = πr²h.
Given radius r = 5 cm and height h = 10 cm.
V = π × (5 cm)² × (10 cm)
V = π × 25 cm² × 10 cm
V = 250π cm³

9b)
The formula for the surface area of a cylinder is SA = 2πr² + 2πrh.
Given radius r = 5 cm and height h = 10 cm.
SA = 2 × π × (5 cm)² + 2 × π × (5 cm) × (10 cm)
SA = 2 × π × 25 cm² + 2 × π × 50 cm²
SA = 50π cm² + 100π cm²
SA = 150π cm²

9c)
The formula for the volume of a cone is V = (1/3)πr²h.
Given radius r = 5 cm and height h = 10 cm.
V = (1/3) × π × (5 cm)² × (10 cm)
V = (1/3) × π × 25 cm² × 10 cm
V = (250/3)π cm³

9d)
The formula for the surface area of a cone is SA = πr(r + √(h² + r²)).
Given radius r = 5 cm and height h = 10 cm.
First, calculate the slant height (l): l = √(h² + r²) = √((10 cm)² + (5 cm)²) = √(100 cm² + 25 cm²) = √(125 cm²) = 5√5 cm.
SA = π × (5 cm) × (5 cm + 5√5 cm)
SA = 5π cm × (5 cm + 5√5 cm)
SA = 25π cm² + 25π√5 cm²
SA = 25π(1 + √5) cm²