Question

QUESTION 1: Find the cost of painting a sphere of radius 14m, if the cost of painting 1m2 is $15.

QUESTION 2: A company packs ice cream cones individually. How much paper is required to pack each ice cream cone if the radius of the base is 6cm and its slant length is 12cm? (Use π = 3.14)

QUESTION 3: Vincent wants to cover the lateral faces of an old pyramid shaped lampshade with some new cloth. The base of the shade is 14 inches long and 12 inches wide, and the slant height is 9 inches and 12 inches respectively. How much cloth will Vincent need to cover the shade

QUESTION 4: Jessica had two identical square pyramids. The sides of the base measured 12cm and the height of the triangular face was 8cm. She joined them at the base. What is the surface area of the joined figure?

Answer 1

Answer:

L.H.S. = x2 – y2

= (p sec θ + q tan θ)2 – (p tan θ + q sec θ)2

= p2 sec θ + q2 tan2 θ + 2 pq sec 2 tan 2 -(p2 tan2 θ + q2 sec2 θ + 2pq sec θ tan θ)

= p2 sec θ + 2 tan2 θ + 2pq sec θ tan θ – p2 tan2 θ – q2 sec θ – 2pq sec θ tan θ

= p2(sec2 θ – tan2 θ) – q2(sec?2 θ – tan2 θ) =

= p2 – q2 …[sec2 θ – tan2 θ = 1

= R.H.S.hii

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Answer 2

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