Plane Geometry

how can I ask for answers here?

Two cylinders of equal radius have their axes meeting at right angles. Find the radius of the cylinders if the volume of the common portion is 144 cu.cm.

A star in inscribed in a circle of 6 inches radius. find the length of each leg/side of the star. tnx

1.)The chord of a circle is 1.25m long and is located at a distance of 0.65m from the center of the circle. Find the area?

2.)A spherical tank has a capacity of 2700 cubic cm is partially filled with water.
What is the area of the circle formed by the water surface if it is 72 cm from the center of the sphere?

(please try to solve this so i can compare mine,tnx.)

HOW TO:
derive the formula of a ZONE of a SPHERE???

find the height of a prism with a base in the form of a sector in which the central angle is 25. its volume is found to be 350in.3 . and the height is four times the radius of the base. - See more at: /forum/strength-materials/need-help#comment-8050

A large rectangular-shaped barge floats in a river, and a mark is made on the side at the level of the water. The
barge is 16 ft. long by 7 ft. broad. When a load of gravel is emptied into the barge, the barge sinks 4 ½ in. Find the
weight of the load of gravel. (The sides of the barge are made of comparatively thin wood, and the effect of the
immersion of the sides an extra 4 ½ in. may be neglected.

(Please help me with these questions)

Solid Mensuration
by: Kern and bland
page 85

#15 Question
a block similar to the one considered in prob.3 (page 83) has a volume of 2000 cu.ft. find its altitude?

#16 Question
the space occupied by the water in a reservoir is the frustum of a right circular cone. each axial section of this frustum has an area of 8800 sq.ft. and the diameter of the lower and upper bases are in ratio 6:5. if the reservoir contains 13,600,00 gal. find the dept the water?

solid mensuration by Kern and bland
page 85

#13
Question: in the solid shown in page 84,edge AB is perpendicular to the base BDC and AEF. find the volume of the solid if BD is parallel to AE.?

page 85 #14
Question: the earth remove from a trench 8ft. deep 14ft. wide at the top and 10ft. wide at the bottom is thrown along side the trench so as to form a bank sloping on each sides at the angle to the horizontal. if the height of bank is three-fourth the width of its base. find the height of the bank.

The lateral area of a frustum of a regular triangular pyramid is 1,081square centimeter and The altitude and the lateral edge are 24cm and 26cm respectively.Find the lengths of the sides of the bases.

Thanks please show me your solution so that I can understand thanks in advance :)