Find the area of a regular pentagon with a side length of 5 cm and an apothem of 3.5 cm. 

A segment of a circle has a radius of 21 cm and a central angle of 90°. Find the area of the segment. 

Find the volume of a hexagonal prism with a side length of 6 cm, height of 10 cm, and apothem of 5.2 cm. 

A hexagonal tank with a base edge of 2 m and a height of 3 m is to be filled with water. Calculate the capacity of the tank in liters. 

A semicircular arc (radius 7 cm) is joined to a rectangle of length 14 cm and width 7 cm. Find the perimeter of the combined shape.

A hollow sphere has an outer radius of 7 cm and an inner radius of 5 cm. Find its total surface area.

A circular pond of radius 14 m is surrounded by a rectangular path of width 5 m. Find the area of the rectangular path. 

Calculate the volume of a square pyramid with a base side of 8 cm and a height of 12 cm.

A cylinder has a radius of 10 cm and height of 20 cm. Find its total surface area.

Find the perimeter of a regular hexagon with a side length of 9 cm. 

A triangle has a base of 8 cm and height of 6 cm. It is combined with a rectangle of dimensions 8 cm × 4 cm. Find the total area. 

A hemisphere has a radius of 10 cm. Find its volume. 

A circular ring has an outer radius of 15 cm and inner radius of 10 cm. Find the area of the ring. 

A cylindrical tank has a radius of 3 m and height of 10 m. Find its capacity in liters. 

Find the total surface area of a cube with a side length of 8 cm.

A frustum of a cone has a top radius of 6 cm, bottom radius of 12 cm, and height of 10 cm. Find its volume. 

A rectangle has a length of 18 cm and width of 12 cm. A semicircle is attached to one side with a diameter equal to the width of the rectangle. Find the total area of the shape. 

A sector of a circle has a radius of 14 cm and a central angle of 120°. Find its area.

An irregular shape consists of a square with a side length of 10 cm and a semicircular arc with a radius of 5 cm attached to one side of the square. Find the perimeter of the shape. 

A cylinder with a radius of 5 cm and height of 10 cm is topped with a cone of the same radius and height. Find the total volume of the shape. 

A circular ring has an outer diameter of 20 cm and an inner diameter of 14 cm. Find the area of the ring. 

A hollow cylinder has an outer radius of 7 cm, inner radius of 5 cm, and height of 10 cm. Find its total surface area.

Find the volume of an ellipsoid with semi-axes of 6 cm, 4 cm, and 3 cm. 

A sector of a circle has a radius of 7 cm and a central angle of 90°. Find the perimeter of the sector. 

A hemisphere has a radius of 14 cm. Find its total surface area, including the base area.