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ZÁKLADNÍ ŠKOLA, BRNO, KAMÍNKY 5 634 00 BRNO – Nový Lískovec, Kamínky 5 Šablona III/2

ZÁKLADNÍ ŠKOLA, BRNO, KAMÍNKY 5 634 00 BRNO – Nový Lískovec, Kamínky 5 Šablona III/2. VÁLEC - PŘÍKLADY. Vypočítejte objem a povrch následujícího tělesa:. r 1 = 5 cm, v 1 = 20 cm. r 2 = 10 cm, v 2 = 20 cm. V = V 2 – V 1. V 1 = p • r 1 2 • v 1 = 3,14 • 5 2 • 20 = 1570.

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ZÁKLADNÍ ŠKOLA, BRNO, KAMÍNKY 5 634 00 BRNO – Nový Lískovec, Kamínky 5 Šablona III/2

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  1. ZÁKLADNÍ ŠKOLA, BRNO, KAMÍNKY 5 634 00 BRNO – Nový Lískovec, Kamínky 5 Šablona III/2

  2. VÁLEC - PŘÍKLADY

  3. Vypočítejte objem a povrch následujícího tělesa: r1 = 5 cm, v1 = 20 cm r2 = 10 cm, v2 = 20 cm • V = V2 – V1 • V1 = p• r12 • v1 =3,14 • 52 • 20 = 1570 • V1 = 1570 cm3 • V2 = p• r22 • v2=3,14 • 102 • 20 = 6280 • V2 = 6280 cm3 • V = 6280 - 1570 = 4710 • V = 4710 cm3

  4. S = Spl1 + Spl2 + 2 •(Sp2 – Sp1) • S = 2 • p• r1 • v1 + 2 • p• r2 • v2+ + 2 • (p• r22 - p• r12)= =2• 3,14• 5• 20 + 2• 3,14• 10 • 20 + + 2 • (3,14• 102 - 3,14• 52) = = 628 + 1256 + 2 • (314 – 78,5) = = 2355 S = 2355 cm2

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